PLEASE HELP GUIDE ME EVEN IF IT IS BY TELLING ME WHICH COLUMNS OF THE EXCEL SHEET I SHOULD USE FOR EACH PART OF THE PROBLEM AND HOW TO GO ABOUT IT. I know the excel sheet cannot be accessed so I told pics of the whole graph.

Calculate the ankle angle in degrees in the sagittal plane over the duration of the trial (for each frame). Report the anatomical ankle angle relative to the ankles neutral position. Create a PLOT in Excel or MATLAB showing the ankle angle over time for the duration of the trial. In the handwritten solutions, briefly describe the process that you used (showing sketches, plots, or calculations if needed) and the rationale for your process. Which markers did you use to calculate the ankle angle? What vectors did you create? Is a positive ankle angle plantarflexion or dorsiflexion? b) Use the ankle angle calculated in part a) to calculate ankle angular velocity in the sagittal plane over the duration of the trial (for each frame). Create a PLOT in Excel or MATLAB showing the ankle angular velocity over time for the duration of the trial. c) Use the ankle angular velocity calculated in part b) to calculate ankle angular acceleration in the sagittal plane over the duration of the trial (for each frame). Create a PLOT in Excel or MATLAB showing the ankle angular acceleration over time for the duration of the trial.
The following data were obtained from: Winter, David A. Biomechanics and Motor Control of Human Movement. New York: Wiley, 1990. Data were collected at 69.9 frames/s (69.9 Hz) Greater Trochanter Lateral Epicondyle of Lateral Malleolus Base Rib Cage Head of Fibula (Hip) Thigh (Knee) (Ankle) Heel 5th Metatarsal Toe Y m m m Y m 0.2143 0.4474 0.2251 m 0.0939 0.1279 0.1653 0.2054 0.2477 0.2917 0.3372 Frame Time S 1 0.0000 2 0.0143 3 0.0286 4 0.0429 5 0.0572 6 0.0715 7 0.0858 8 0.1001 9 0.1144 10 0.1288 11 0.1431 12 0.1574 13 0.1717 14 0.1860 15 0.2003 16 0.2146 17 0.2289 18 0.2432 19 0.2575 20 0.2718 21 0.2861 22 0.3004 23 0.3147 24 0.3290 25 0.3433 26 0.3577 27 0.3720 28 0.3863 29 0.4006 30 0.4149 31 0.4292 m 0.4695 0.49 0.51 0.5294 0.5481 0.5661 0.5836 0.6007 0.6178 0.6349 0.6521 0.6695 0.6869 0.7044 0.7221 0.74 0.7581 0.7768 0.796 0.8158 0.8363 0.8573 0.8787 0.9003 0.9222 0.9443 0.9668 0.9896 1.0128 1.0362 10596 1.0435 1.0467 1.0501 1.0535 1.057 1.0607 1.0644 1.068 1.0713 1.0739 1.0759 1.077 1.0774 1.0773 1.0767 1.0758 1.0745 1.0727 1.0704 1.0675 1.064 1.06 1.0557 1.0512 1.0468 1.0427 1.0392 1.0367 1.0353 1.0349 1.0353 0.4706 0.4928 0.5138 0.5336 0.5526 0.5712 0.5898 0.6086 0.6278 0.6474 0.6673 0.6876 0.7082 0.7288 0.7495 0.7702 0.791 0.8121 0.8335 0.8552 0.8773 0.8997 0.9226 0.946 0.9698 0.994 1.0183 1.0425 1.0664 1.0897 m 0.787 0.7875 0.7889 0.7914 0.7948 0.7991 0.8039 0.8089 0.8139 0.8185 0.8226 0.8259 0.8283 0.8298 0.8302 0.8298 0.8283 0.826 0.8228 0.8189 0.8147 0.8105 0.8067 0.8033 0.8005 0.7983 0.7967 0.7959 0.7959 0.797 0.7991 0.4075 0.4461 0.485 0.5235 0.5613 0.598 0.6336 0.6678 0.7006 0.7319 0.7615 0.7896 0.8159 0.8407 0.8641 0.886 0.9067 0.9263 0.9448 0.9627 0.9803 0.9981 1.0165 1.0358 1.0561 1.0776 1.0997 1.1223 1.1448 1.1669 1.1885 m 0.4754 0.4741 0.4746 0.4771 0.4815 0.4877 0.4952 0.5034 0.5118 0.52 0.5278 0.5347 0.5404 0.5447 0.5474 0.5483 0.5476 0.5451 0.5412 0.5361 0.5303 0.5242 0.5186 0.5138 0.51 0.5072 0.5053 0.5042 0.5039 0.5046 0.5061 m 0.357 0.3985 0.4407 0.4829 0.5244 0.5649 0.6041 0.642 0.6784 0.7133 0.7464 0.7779 0.8076 0.8357 0.862 0.8868 0.91 0.9318 0.9526 0.9727 0.9925 1.0124 1.0326 1.0531 1.0741 1.0953 1.1169 1.1384 1.1598 1.1808 1.2015 Y m 0.4052 0.4036 0.4034 0.4049 0.4082 0.413 0.4189 0.4255 0.4324 0.4391 0.4453 0.4506 0.4549 0.458 0.4598 0.4604 0.4597 0.4579 0.4551 0.4514 0.4472 0.443 0.4389 0.435 0.4314 0.4279 0.4247 0.422 0.4202 0.4194 1.4196 0.3841 0.4322 0.4817 0.5326 0.5848 0.6384 0.6931 0.7486 0.8045 0.86 0.9145 0.9672 1.0173 1.0641 1.1068 1.1447 1.1771 1.2038 1.2249 1.2413 0.2337 0.2396 0.2423 0.2417 0.2379 0.2311 0.2219 0.2106 0.1979 0.1844 0.1707 0.1577 0.146 0.136 0.1282 0.1226 0.1192 0.1177 0.1175 0.1182 0.119 0.1193 0.1185 0.1162 0.1126 0.1081 0.1037 0.0999 0.0972 m 0.03 0.0659 0.1042 0.144 0.1849 0.2267 0.2696 0.3138 0.3599 0.4083 0.459 0.512 0.5671 0.6242 0.6829 0.7427 0.8029 0.8628 0.9215 0.9779 1.0309 1.079 1.1212 1.1565 1.1844 1.2051 1.2192 1.228 1.2327 1.235 1.236 m 0.236 0.2531 0.2655 0.2723 0.2734 0.2692 0.26 0.2466 0.2299 0.2107 0.19 0.1687 0.1477 0.1276 0.109 0.0925 0.0783 0.0668 0.0582 0.0521 0.0483 0.0462 0.0451 0.0441 0.0428 0.0411 0.0395 0.0384 0.0381 0.0385 00394 m 0.0845 0.1114 0.1452 0.1854 0.2311 0.2813 0.3353 0.3923 0.4517 0.513 0.5758 0.6396 0.704 0.7686 0.833 0.8966 0.959 1.0197 1.078 1.133 1.1835 1.2288 1.268 1.3009 1.3274 1.3477 1.3626 1.3732 1.3807 1.386 1.3899 m 0.0926 0.1042 0.1137 0.1201 0.123 0.1222 0.118 0.1112 0.1024 0.0927 0.0828 0.0737 0.0659 0.0601 0.0565 0.0555 0.0572 0.0614 0.068 0.0765 0.0859 0.0952 0.1031 0.1081 0.1094 0.1066 0.1001 0.0907 0.0797 0.0685 0.0582 m 0.1283 0.1515 0.1833 0.2232 0.2702 0.3229 0.3801 0.4407 0.5039 0.5689 0.635 0.7018 0.7685 0.8349 0.9003 0.9642 1.0262 1.0855 1.1414 1.193 1.24 1.2817 1.318 1.3488 1.3741 1.3945 1.4107 1.4237 Y m 0.0464 0.0521 0.058 0.063 0.0662 0.0671 0.0659 0.0631 0.0594 0.0554 0.0518 0.0493 0.0485 0.0497 0.0534 0.0596 0.0686 0.0801 0.0936 0.1083 0.1232 0.137 0.1483 0.1558 0.1583 0.1554 0.1474 0.1353 0.1206 0.105 0898 1.4343 1.2539 1.2639 1.272 1.2789 1.4432 1.4504 1.2789 1.2846 1.2894 1.2931 1.296 1.2982 1.2999 1.3012 1.3022 1.3026 1.3026 1.3023 1.302 1.3017 1.3016 1.3018 1.3024 0.0582 0.0496 0.0431 0.0387 0.0363 0.0353 0.0351 0.0353 0.0355 0.0357 1.3034 31 0.4292 32 0.4435 33 0.4578 34 0.4721 35 0.4864 36 0.5007 37 0.5150 38 0.5293 39 0.5436 40 0.5579 41 0.5722 42 0.5866 43 0.6009 44 0.6152 45 0.6295 46 0.6438 47 0.6581 48 0.6724 49 0.6867 50 0.7010 51 0.7153 52 0.7296 53 0.7439 54 0.7582 55 0.7725 56 0.7868 57 0.8011 58 0.8155 59 0.8298 60 0.8441 61 0.8584 62 0.8727 63 0.8870 64 0.9013 65 0.9156 66 0.9299 67 0.9442 1.0596 1.0828 1.1056 1.1279 1.1496 1.1707 1.1915 1.2118 1.2317 1.2511 1.2702 1.289 1.3076 1.3263 1.345 1.3638 1.3829 1.4021 1.4217 1.4414 1.4614 1.4814 1.5015 1.5217 1.5421 1.5626 1.5833 1.6041 1.625 1.6461 1.6678 1.6903 1.7136 1.7377 1.7623 1.7866 1.8101 1.0353 1.0366 1.0384 1.0408 1.0438 1.0473 1.0512 1.0552 1.0594 1.0634 1.067 1.071 1.0744 1.0773 1.0796 1.081 1.0815 1.0809 1.0793 1.0769 1.0739 1.0704 1.0666 1.0624 1.0582 1.0541 1.0503 1.0468 1.0439 1.0413 1.0392 1.0373 1.0357 1.0343 1.0334 1.0332 1.0338 1.0897 1.1121 1.1336 1.154 1.1736 1.1928 1.2118 1.2307 1.2494 1.2675 1.285 1.3018 1.3178 1.3332 1.3484 1.3633 1.3782 1.3931 1.4083 1.4239 1.44 1.4564 1.4731 1.49 1.5071 1.5247 1.5426 1.561 1.58 1.5999 1.621 1.6436 1.6679 1.6937 1.7208 1.7483 1.7756 0.7991 0.8023 0.806 0.81 0.8139 0.8173 0.8205 0.8234 0.826 0.8282 0.83 0.8314 0.8325 0.8333 0.8335 0.833 0.8318 0.83 0.8279 0.8255 0.823 0.8204 0.8178 0.8151 0.8127 0.8103 0.8081 0.8059 0.8038 0.8018 0.7998 0.7977 0.7955 0.7933 0.7911 0.7891 0.7873 1.1885 1.2097 1.2304 1.25 1.2679 1.2839 1.2977 1.3097 1.32 1.3288 1.3365 1.3435 1.3502 1.357 1.3639 1.371 1.3784 1.3859 1.3937 1.4018 1.4102 1.4188 1.4275 1.4366 1.4463 1.4571 1.469 1.4822 1.4969 1.5135 1.5322 1.5534 1.5775 1.6046 1.6346 1.6671 1.7014 0.5061 0.5083 0.511 0.5138 0.516 0.5175 0.5182 0.5183 0.518 0.5175 0.5171 0.517 0.5172 0.5175 0.5175 0.5169 0.5157 0.5141 0.5123 0.5105 0.5089 0.5077 0.5069 0.5065 0.5062 0.5061 0.5059 0.5055 0.5048 0.5037 0.5021 0.4999 0.4969 0.4933 0.4894 0.4853 0.4812 1.2015 1.2216 1.241 1.2592 1.2755 1.2898 1.3019 1.3119 1.3198 1.326 1.3309 1.3352 1.3393 1.3435 1.3477 1.3521 1.3567 1.3617 1.3669 1.3725 1.3785 1.3849 1.3917 1.3988 1.4066 1.4151 1.4248 1.4359 1.4486 1.4635 1.4809 1.5011 1.5242 1.5503 1.5793 1.611 1.645 0.4196 0.4207 0.4221 0.4235 0.4247 0.4255 0.426 0.4262 0.4265 0.4269 0.4274 0.4281 0.4287 0.4291 0.4291 0.4287 0.4278 0.4268 0.4256 0.4246 0.4238 0.4235 0.4236 0.4241 0.4247 0.4254 0.426 0.4265 0.4269 0.427 0.4267 0.4257 0.4242 0.4219 0.4189 0.4156 0.4119 1.3046 1.3059 1.3074 1.309 1.3104 1.3117 1.3129 1.3142 1.3157 1.3174 1.3196 1.3227 1.3274 1.334 1.3432 1.3552 1.3704 1.3887 1.4101 0.0972 0.0955 0.0945 0.094 0.0937 0.0935 0.0934 0.0935 0.0936 0.0938 0.094 0.0945 0.0952 0.0962 0.0974 0.0985 0.0994 0.1 0.1005 0.1009 0.1014 0.102 0.1029 0.1042 0.1061 0.1086 0.1118 0.1158 0.1205 0.1257 0.1317 0.1385 0.1463 0.1549 0.1645 0.1749 0.1857 1.236 1.2365 1.237 1.2377 1.2384 1.2394 1.2406 1.2419 1.2429 1.2435 1.2435 1.2431 1.2425 1.2421 1.2418 1.242 1.2425 1.2433 1.2445 1.246 1.2477 1.2494 1.251 1.2523 1.2536 1.2547 1.2559 1.2571 1.2585 1.2606 1.264 1.2692 1.2769 1.2878 1.3024 1.321 1.3436 0.0394 0.0404 0.0414 0.0424 0.0432 0.044 0.0448 0.0453 0.0457 0.0458 0.0458 0.0458 0.0459 0.0463 0.0469 0.0477 0.0484 0.0489 0.0494 0.0498 0.0504 0.0516 0.0534 0.0559 0.0591 0.0631 0.0677 0.0731 0.0794 0.0869 0.096 0.1068 0.1195 0.1343 0.1511 0.17 0.1902 1.3899 1.3928 1.3949 1.3965 1.3977 1.3987 1.3997 1.4006 1.4013 1.4016 1.4014 1.401 1.4005 1.4001 1.3998 1.3997 1.3997 1.3997 1.3998 1.4001 1.4006 1.4014 1.4023 1.4031 1.4038 1.4043 1.4045 1.4042 1.4035 1.4028 1.4023 1.4024 1.4035 1.4058 1.4094 1.4149 1.4229 0.0359 0.036 0.0361 0.0361 0.0359 0.0355 0.0351 0.0346 0.0344 0.0343 0.0342 0.034 0.0338 0.0337 0.0339 0.0345 0.0353 0.0361 0.0369 0.0374 0.038 0.0389 0.0406 0.0437 0.0485 0.0552 0.0639 1.4504 1.4563 1.4609 1.4644 1.4668 1.4685 1.4697 1.4706 1.4712 1.4713 1.4712 1.4709 1.4705 1.4701 1.4699 1.4698 1.4698 1.47 1.4703 1.4708 1.4714 1.4719 1.4724 1.4726 1.4727 1.4725 1.4721 1.4714 1.4705 1.4695 1.4687 1.4684 1.4687 1.4696 1.4712 1.4737 1.4775 0.0898 0.0765 0.0658 0.0578 0.0525 0.0492 0.0476 0.0469 0.0467 0.0466 0.0463 0.0459 0.0453 0.0448 0.0443 0.0437 0.0431 0.0424 0.0417 0.041 0.0403 0.0397 0.0393 0.039 0.0388 0.0389 0.039 0.0393 0.0394 0.0394 0.039 0.0381 0.0368 0.0353 0.034 0.0333 0.0337 0.1749 0.1857 0.1967 0.2074 0.2175 1.7483 1.7756 1.802 1.827 1.8505 1.8723 1.8927 1.912 1.9308 1.9493 1.968 1.987 2.0066 2.0267 2.0473 66 0.9299 67 0.9442 68 0.9585 69 0.9728 70 0.9871 71 1.0014 72 1.0157 73 1.0300 74 1.0443 75 1.0587 76 1.0730 77 1.0873 78 1.1016 79 1.1159 80 1.1302 81 1.1445 82 1.1588 83 1.1731 84 1.1874 85 1.2017 86 1.2160 87 1.2303 88 1.2446 89 1.2589 90 1.2732 91 1.2876 92 1.3019 93 1.3162 94 1.3305 95 1.3448 96 1.3591 97 1.3734 98 1.3877 99 1.4020 100 1.4163 101 1.4306 102 1.4449 103 1.4592 104 1.4735 105 1.4878 106 1.5021 1.7866 1.8101 1.8323 1.8531 1.8727 1.8914 1.9093 1.9268 1.944 1.961 1.978 1.9951 2.0122 2.0294 2.0469 2.0647 2.0827 2.1009 2.1193 2.1378 2.1563 2.1751 2.194 2.2133 2.2329 2.2529 2.2731 2.2938 2.3149 2.3365 2.3587 2.3813 2.4045 2.4279 1.0332 1.0338 1.0353 1.0377 1.0409 1.0447 1.0489 1.0532 1.0572 1.061 1.0645 1.0679 1.071 1.0735 1.0753 1.0763 1.0765 1.076 1.0748 1.0728 1.0702 1.0671 1.0635 1.0595 1.0552 1.051 1.0468 1.0428 1.039 1.0356 1.0328 1.0307 1.0294 1.0289 1.0292 1.0304 1.0327 1.0358 1.0398 1.0441 1.0485 0.7891 0.7873 0.7859 0.7851 0.7851 0.7861 0.788 0.7909 0.7947 0.7991 0.8042 0.8096 0.8149 0.8198 0.8238 0.8268 0.8287 0.8297 0.8296 0.8287 0.827 0.8244 0.821 0.8169 0.8124 0.8078 0.8033 0.7992 0.7957 2.0681 1.6671 1.7014 1.7369 1.7732 1.8097 1.8462 1.8826 1.919 1.9552 1.9911 2.0265 2.061 2.0943 2.1262 2.1565 2.1853 2.2124 2.2381 2.2622 2.2848 2.306 2.3259 2.3446 2.3625 2.38 2.3975 2.4156 2.4349 2.4556 2.4779 2.5014 2.5257 2.5502 2.5746 2.5984 2.6214 2.6431 2.6628 2.68 2.6945 2.7065 0.4853 0.4812 0.4776 0.4747 0.473 0.4728 0.4743 0.4775 0.4823 0.4884 0.4955 0.5032 0.5112 0.5189 0.526 0.5323 0.5375 0.5416 0.5442 0.5452 0.5443 0.5416 0.5372 0.5315 0.525 0.5184 0.5122 0.5071 0.5033 0.5009 0.4998 0.4999 0.5008 0.5025 0.5047 0.5072 0.5098 0.512 0.5136 0.5147 1.611 1.645 1.681 1.7185 1.7572 1.7967 1.8368 1.8769 1.9168 1.9563 1.9951 2.0329 2.0694 2.1044 2.1379 2.1697 2.1999 2.2284 2.2553 2.2805 2.3043 2.327 2.3489 2.3703 2.3914 2.4124 2.4333 2.4542 2.4756 2.4975 2.52 2.5429 2.5661 2.5893 2.6121 2.6341 2.6545 2.6727 2.6883 2.701 2.7111 1.3887 1.4101 1.4346 1.4622 1.4928 1.5261 1.5619 1.5999 1.6401 1.6824 1.7267 1.7729 1.8209 1.8706 1.9218 1.9745 2.0284 2.0834 2.1394 2.1961 2.2531 2.3098 2.3654 2.4188 2.4688 2.5142 2.5539 2.5876 2.6151 2.0889 2.1095 2.1298 2.15 2.1699 2.1899 2.21 2.2306 2.2518 2.2735 2.2957 2.3185 2.3419 0.4156 0.4119 0.4083 0.4049 0.4024 0.4014 0.4021 0.4045 0.4083 0.4132 0.4188 0.4249 0.4311 0.4371 0.4424 0.4469 0.4504 0.4527 0.4537 0.4534 0.4519 0.4493 0.4459 0.442 0.438 0.4341 0.4305 0.4274 0.4246 0.422 0.42 0.4186 0.418 0.4185 0.4197 0.4215 0.4232 0.4246 0.4253 0.4256 0.4256 1.321 1.3436 1.3699 1.3995 1.4317 1.4659 1.5016 1.5387 1.5774 1.6178 1.6601 1.7044 1.7506 1.799 1.8495 1.9024 1.9576 2.015 2.0745 2.1354 2.1974 2.2595 2.3208 2.3801 2.436 2.4869 2.5314 2.5684 2.5975 0.2266 0.234 0.2391 0.2413 0.2403 0.2361 0.2291 0.2197 0.2082 0.1953 0.1814 0.1672 0.1533 0.1405 0.1293 0.1204 0.114 0.11 0.1081 0.1079 0.1087 0.1098 0.1103 0.1095 0.1074 0.1043 0.1009 0.0978 0.0954 0.0936 0.0924 0.0915 0.0907 0.0899 0.0893 0.0888 0.17 0.1902 0.2106 0.2299 0.2467 0.26 0.2693 0.2741 0.2741 0.2694 0.2604 0.2475 0.2314 0.2124 0.1914 0.1692 0.1467 0.1249 0.1044 0.0862 0.0705 0.0579 0.0485 0.042 0.0381 0.0362 0.0356 0.0354 0.0352 0.0347 0.0343 0.0343 0.0349 0.0359 0.0371 0.0381 0.0388 0.039 0.0387 0.0381 0.0373 1.4149 1.4229 1.4343 1.4502 1.4717 1.4994 1.5335 1.5734 1.6185 1.6681 1.7213 1.7776 1.8365 1.8975 1.9603 2.0243 2.0892 2.1548 2.2208 2.2866 2.3518 2.4155 2.4771 2.5353 2.589 2.6371 2.6787 2.7133 2.741 2.7622 2.7781 2.7898 2.7985 2.805 2.8099 2.8134 2.8155 2.8166 2.8167 2.8162 2.8155 0.0552 0.0639 0.0741 0.0852 0.0963 0.1063 0.1142 0.1188 0.12 0.1175 0.1121 0.1046 0.0955 0.0856 0.0754 0.0655 0.0566 0.0493 0.0444 0.0421 0.043 0.0469 0.0539 0.0634 0.0743 0.0853 0.0948 0.1013 0.1038 0.1019 0.0959 0.0869 0.0762 0.0651 0.0548 0.0461 0.0393 0.0342 0.0306 0.0283 0.027 1.4737 1.4775 1.4837 1.4941 1.5107 1.5349 1.5673 1.6075 1.6546 1.7074 1.7647 1.8256 1.8892 1.9547 2.0215 2.0892 2.1571 2.2246 2.2912 2.3564 2.4199 2.4813 2.5399 2.5948 2.6451 2.69 2.7289 2.7617 2.7886 2.8103 2.8275 2.8413 2.8527 2.8621 2.8697 2.8755 2.8794 2.8816 2.8825 2.8875 2.8822 0.0333 0.0337 0.0354 0.0385 0.0428 0.0478 0.053 0.0574 0.0603 0.0612 0.0601 0.057 0.0528 0.0482 0.0439 0.0406 0.0388 0.0391 0.0418 0.0474 0.0558 0.0671 0.0811 0.0968 0.1132 0.1286 0.1415 0.1501 0.1534 0.1508 2.3661 0.793 2.6369 2.6188 2.6541 0.1427 2.4514 2.4746 2.4974 2.5194 2.5407 2.561 2.391 2.4163 2.4417 2.4667 2.4909 2.5142 2.5364 2.5575 2.5775 2.5965 2.6143 0.7913 0.7908 0.7913 0.7929 0.7955 0.7989 0.8029 0.8069 0.8108 0.8142 0.8171 2.6677 2.6789 2.6882 2.696 2.7023 2.7068 2.7098 2.7114 2.7117 2.7114 2.6333 2.6422 2.6473 2.65 2.6514 2.6521 2.6524 2.6525 2.6523 2.6519 2.6515 0.1304 0.1153 0.0994 0.0843 0.0714 0.061 0.0535 0.0483 0.0451 0.0431 2.58 0.5153 The following data were obtained from: Winter, David A. Biomechanics and Motor Control of Human Movement. New York: Wiley, 1990. Data were collected at 69.9 frames/s (69.9 Hz) Greater Trochanter Lateral Epicondyle of Lateral Malleolus Base Rib Cage Head of Fibula (Hip) Thigh (Knee) (Ankle) Heel 5th Metatarsal Toe Y m m m Y m 0.2143 0.4474 0.2251 m 0.0939 0.1279 0.1653 0.2054 0.2477 0.2917 0.3372 Frame Time S 1 0.0000 2 0.0143 3 0.0286 4 0.0429 5 0.0572 6 0.0715 7 0.0858 8 0.1001 9 0.1144 10 0.1288 11 0.1431 12 0.1574 13 0.1717 14 0.1860 15 0.2003 16 0.2146 17 0.2289 18 0.2432 19 0.2575 20 0.2718 21 0.2861 22 0.3004 23 0.3147 24 0.3290 25 0.3433 26 0.3577 27 0.3720 28 0.3863 29 0.4006 30 0.4149 31 0.4292 m 0.4695 0.49 0.51 0.5294 0.5481 0.5661 0.5836 0.6007 0.6178 0.6349 0.6521 0.6695 0.6869 0.7044 0.7221 0.74 0.7581 0.7768 0.796 0.8158 0.8363 0.8573 0.8787 0.9003 0.9222 0.9443 0.9668 0.9896 1.0128 1.0362 10596 1.0435 1.0467 1.0501 1.0535 1.057 1.0607 1.0644 1.068 1.0713 1.0739 1.0759 1.077 1.0774 1.0773 1.0767 1.0758 1.0745 1.0727 1.0704 1.0675 1.064 1.06 1.0557 1.0512 1.0468 1.0427 1.0392 1.0367 1.0353 1.0349 1.0353 0.4706 0.4928 0.5138 0.5336 0.5526 0.5712 0.5898 0.6086 0.6278 0.6474 0.6673 0.6876 0.7082 0.7288 0.7495 0.7702 0.791 0.8121 0.8335 0.8552 0.8773 0.8997 0.9226 0.946 0.9698 0.994 1.0183 1.0425 1.0664 1.0897 m 0.787 0.7875 0.7889 0.7914 0.7948 0.7991 0.8039 0.8089 0.8139 0.8185 0.8226 0.8259 0.8283 0.8298 0.8302 0.8298 0.8283 0.826 0.8228 0.8189 0.8147 0.8105 0.8067 0.8033 0.8005 0.7983 0.7967 0.7959 0.7959 0.797 0.7991 0.4075 0.4461 0.485 0.5235 0.5613 0.598 0.6336 0.6678 0.7006 0.7319 0.7615 0.7896 0.8159 0.8407 0.8641 0.886 0.9067 0.9263 0.9448 0.9627 0.9803 0.9981 1.0165 1.0358 1.0561 1.0776 1.0997 1.1223 1.1448 1.1669 1.1885 m 0.4754 0.4741 0.4746 0.4771 0.4815 0.4877 0.4952 0.5034 0.5118 0.52 0.5278 0.5347 0.5404 0.5447 0.5474 0.5483 0.5476 0.5451 0.5412 0.5361 0.5303 0.5242 0.5186 0.5138 0.51 0.5072 0.5053 0.5042 0.5039 0.5046 0.5061 m 0.357 0.3985 0.4407 0.4829 0.5244 0.5649 0.6041 0.642 0.6784 0.7133 0.7464 0.7779 0.8076 0.8357 0.862 0.8868 0.91 0.9318 0.9526 0.9727 0.9925 1.0124 1.0326 1.0531 1.0741 1.0953 1.1169 1.1384 1.1598 1.1808 1.2015 Y m 0.4052 0.4036 0.4034 0.4049 0.4082 0.413 0.4189 0.4255 0.4324 0.4391 0.4453 0.4506 0.4549 0.458 0.4598 0.4604 0.4597 0.4579 0.4551 0.4514 0.4472 0.443 0.4389 0.435 0.4314 0.4279 0.4247 0.422 0.4202 0.4194 1.4196 0.3841 0.4322 0.4817 0.5326 0.5848 0.6384 0.6931 0.7486 0.8045 0.86 0.9145 0.9672 1.0173 1.0641 1.1068 1.1447 1.1771 1.2038 1.2249 1.2413 0.2337 0.2396 0.2423 0.2417 0.2379 0.2311 0.2219 0.2106 0.1979 0.1844 0.1707 0.1577 0.146 0.136 0.1282 0.1226 0.1192 0.1177 0.1175 0.1182 0.119 0.1193 0.1185 0.1162 0.1126 0.1081 0.1037 0.0999 0.0972 m 0.03 0.0659 0.1042 0.144 0.1849 0.2267 0.2696 0.3138 0.3599 0.4083 0.459 0.512 0.5671 0.6242 0.6829 0.7427 0.8029 0.8628 0.9215 0.9779 1.0309 1.079 1.1212 1.1565 1.1844 1.2051 1.2192 1.228 1.2327 1.235 1.236 m 0.236 0.2531 0.2655 0.2723 0.2734 0.2692 0.26 0.2466 0.2299 0.2107 0.19 0.1687 0.1477 0.1276 0.109 0.0925 0.0783 0.0668 0.0582 0.0521 0.0483 0.0462 0.0451 0.0441 0.0428 0.0411 0.0395 0.0384 0.0381 0.0385 00394 m 0.0845 0.1114 0.1452 0.1854 0.2311 0.2813 0.3353 0.3923 0.4517 0.513 0.5758 0.6396 0.704 0.7686 0.833 0.8966 0.959 1.0197 1.078 1.133 1.1835 1.2288 1.268 1.3009 1.3274 1.3477 1.3626 1.3732 1.3807 1.386 1.3899 m 0.0926 0.1042 0.1137 0.1201 0.123 0.1222 0.118 0.1112 0.1024 0.0927 0.0828 0.0737 0.0659 0.0601 0.0565 0.0555 0.0572 0.0614 0.068 0.0765 0.0859 0.0952 0.1031 0.1081 0.1094 0.1066 0.1001 0.0907 0.0797 0.0685 0.0582 m 0.1283 0.1515 0.1833 0.2232 0.2702 0.3229 0.3801 0.4407 0.5039 0.5689 0.635 0.7018 0.7685 0.8349 0.9003 0.9642 1.0262 1.0855 1.1414 1.193 1.24 1.2817 1.318 1.3488 1.3741 1.3945 1.4107 1.4237 Y m 0.0464 0.0521 0.058 0.063 0.0662 0.0671 0.0659 0.0631 0.0594 0.0554 0.0518 0.0493 0.0485 0.0497 0.0534 0.0596 0.0686 0.0801 0.0936 0.1083 0.1232 0.137 0.1483 0.1558 0.1583 0.1554 0.1474 0.1353 0.1206 0.105 0898 1.4343 1.2539 1.2639 1.272 1.2789 1.4432 1.4504 1.2789 1.2846 1.2894 1.2931 1.296 1.2982 1.2999 1.3012 1.3022 1.3026 1.3026 1.3023 1.302 1.3017 1.3016 1.3018 1.3024 0.0582 0.0496 0.0431 0.0387 0.0363 0.0353 0.0351 0.0353 0.0355 0.0357 1.3034 31 0.4292 32 0.4435 33 0.4578 34 0.4721 35 0.4864 36 0.5007 37 0.5150 38 0.5293 39 0.5436 40 0.5579 41 0.5722 42 0.5866 43 0.6009 44 0.6152 45 0.6295 46 0.6438 47 0.6581 48 0.6724 49 0.6867 50 0.7010 51 0.7153 52 0.7296 53 0.7439 54 0.7582 55 0.7725 56 0.7868 57 0.8011 58 0.8155 59 0.8298 60 0.8441 61 0.8584 62 0.8727 63 0.8870 64 0.9013 65 0.9156 66 0.9299 67 0.9442 1.0596 1.0828 1.1056 1.1279 1.1496 1.1707 1.1915 1.2118 1.2317 1.2511 1.2702 1.289 1.3076 1.3263 1.345 1.3638 1.3829 1.4021 1.4217 1.4414 1.4614 1.4814 1.5015 1.5217 1.5421 1.5626 1.5833 1.6041 1.625 1.6461 1.6678 1.6903 1.7136 1.7377 1.7623 1.7866 1.8101 1.0353 1.0366 1.0384 1.0408 1.0438 1.0473 1.0512 1.0552 1.0594 1.0634 1.067 1.071 1.0744 1.0773 1.0796 1.081 1.0815 1.0809 1.0793 1.0769 1.0739 1.0704 1.0666 1.0624 1.0582 1.0541 1.0503 1.0468 1.0439 1.0413 1.0392 1.0373 1.0357 1.0343 1.0334 1.0332 1.0338 1.0897 1.1121 1.1336 1.154 1.1736 1.1928 1.2118 1.2307 1.2494 1.2675 1.285 1.3018 1.3178 1.3332 1.3484 1.3633 1.3782 1.3931 1.4083 1.4239 1.44 1.4564 1.4731 1.49 1.5071 1.5247 1.5426 1.561 1.58 1.5999 1.621 1.6436 1.6679 1.6937 1.7208 1.7483 1.7756 0.7991 0.8023 0.806 0.81 0.8139 0.8173 0.8205 0.8234 0.826 0.8282 0.83 0.8314 0.8325 0.8333 0.8335 0.833 0.8318 0.83 0.8279 0.8255 0.823 0.8204 0.8178 0.8151 0.8127 0.8103 0.8081 0.8059 0.8038 0.8018 0.7998 0.7977 0.7955 0.7933 0.7911 0.7891 0.7873 1.1885 1.2097 1.2304 1.25 1.2679 1.2839 1.2977 1.3097 1.32 1.3288 1.3365 1.3435 1.3502 1.357 1.3639 1.371 1.3784 1.3859 1.3937 1.4018 1.4102 1.4188 1.4275 1.4366 1.4463 1.4571 1.469 1.4822 1.4969 1.5135 1.5322 1.5534 1.5775 1.6046 1.6346 1.6671 1.7014 0.5061 0.5083 0.511 0.5138 0.516 0.5175 0.5182 0.5183 0.518 0.5175 0.5171 0.517 0.5172 0.5175 0.5175 0.5169 0.5157 0.5141 0.5123 0.5105 0.5089 0.5077 0.5069 0.5065 0.5062 0.5061 0.5059 0.5055 0.5048 0.5037 0.5021 0.4999 0.4969 0.4933 0.4894 0.4853 0.4812 1.2015 1.2216 1.241 1.2592 1.2755 1.2898 1.3019 1.3119 1.3198 1.326 1.3309 1.3352 1.3393 1.3435 1.3477 1.3521 1.3567 1.3617 1.3669 1.3725 1.3785 1.3849 1.3917 1.3988 1.4066 1.4151 1.4248 1.4359 1.4486 1.4635 1.4809 1.5011 1.5242 1.5503 1.5793 1.611 1.645 0.4196 0.4207 0.4221 0.4235 0.4247 0.4255 0.426 0.4262 0.4265 0.4269 0.4274 0.4281 0.4287 0.4291 0.4291 0.4287 0.4278 0.4268 0.4256 0.4246 0.4238 0.4235 0.4236 0.4241 0.4247 0.4254 0.426 0.4265 0.4269 0.427 0.4267 0.4257 0.4242 0.4219 0.4189 0.4156 0.4119 1.3046 1.3059 1.3074 1.309 1.3104 1.3117 1.3129 1.3142 1.3157 1.3174 1.3196 1.3227 1.3274 1.334 1.3432 1.3552 1.3704 1.3887 1.4101 0.0972 0.0955 0.0945 0.094 0.0937 0.0935 0.0934 0.0935 0.0936 0.0938 0.094 0.0945 0.0952 0.0962 0.0974 0.0985 0.0994 0.1 0.1005 0.1009 0.1014 0.102 0.1029 0.1042 0.1061 0.1086 0.1118 0.1158 0.1205 0.1257 0.1317 0.1385 0.1463 0.1549 0.1645 0.1749 0.1857 1.236 1.2365 1.237 1.2377 1.2384 1.2394 1.2406 1.2419 1.2429 1.2435 1.2435 1.2431 1.2425 1.2421 1.2418 1.242 1.2425 1.2433 1.2445 1.246 1.2477 1.2494 1.251 1.2523 1.2536 1.2547 1.2559 1.2571 1.2585 1.2606 1.264 1.2692 1.2769 1.2878 1.3024 1.321 1.3436 0.0394 0.0404 0.0414 0.0424 0.0432 0.044 0.0448 0.0453 0.0457 0.0458 0.0458 0.0458 0.0459 0.0463 0.0469 0.0477 0.0484 0.0489 0.0494 0.0498 0.0504 0.0516 0.0534 0.0559 0.0591 0.0631 0.0677 0.0731 0.0794 0.0869 0.096 0.1068 0.1195 0.1343 0.1511 0.17 0.1902 1.3899 1.3928 1.3949 1.3965 1.3977 1.3987 1.3997 1.4006 1.4013 1.4016 1.4014 1.401 1.4005 1.4001 1.3998 1.3997 1.3997 1.3997 1.3998 1.4001 1.4006 1.4014 1.4023 1.4031 1.4038 1.4043 1.4045 1.4042 1.4035 1.4028 1.4023 1.4024 1.4035 1.4058 1.4094 1.4149 1.4229 0.0359 0.036 0.0361 0.0361 0.0359 0.0355 0.0351 0.0346 0.0344 0.0343 0.0342 0.034 0.0338 0.0337 0.0339 0.0345 0.0353 0.0361 0.0369 0.0374 0.038 0.0389 0.0406 0.0437 0.0485 0.0552 0.0639 1.4504 1.4563 1.4609 1.4644 1.4668 1.4685 1.4697 1.4706 1.4712 1.4713 1.4712 1.4709 1.4705 1.4701 1.4699 1.4698 1.4698 1.47 1.4703 1.4708 1.4714 1.4719 1.4724 1.4726 1.4727 1.4725 1.4721 1.4714 1.4705 1.4695 1.4687 1.4684 1.4687 1.4696 1.4712 1.4737 1.4775 0.0898 0.0765 0.0658 0.0578 0.0525 0.0492 0.0476 0.0469 0.0467 0.0466 0.0463 0.0459 0.0453 0.0448 0.0443 0.0437 0.0431 0.0424 0.0417 0.041 0.0403 0.0397 0.0393 0.039 0.0388 0.0389 0.039 0.0393 0.0394 0.0394 0.039 0.0381 0.0368 0.0353 0.034 0.0333 0.0337 0.1749 0.1857 0.1967 0.2074 0.2175 1.7483 1.7756 1.802 1.827 1.8505 1.8723 1.8927 1.912 1.9308 1.9493 1.968 1.987 2.0066 2.0267 2.0473 66 0.9299 67 0.9442 68 0.9585 69 0.9728 70 0.9871 71 1.0014 72 1.0157 73 1.0300 74 1.0443 75 1.0587 76 1.0730 77 1.0873 78 1.1016 79 1.1159 80 1.1302 81 1.1445 82 1.1588 83 1.1731 84 1.1874 85 1.2017 86 1.2160 87 1.2303 88 1.2446 89 1.2589 90 1.2732 91 1.2876 92 1.3019 93 1.3162 94 1.3305 95 1.3448 96 1.3591 97 1.3734 98 1.3877 99 1.4020 100 1.4163 101 1.4306 102 1.4449 103 1.4592 104 1.4735 105 1.4878 106 1.5021 1.7866 1.8101 1.8323 1.8531 1.8727 1.8914 1.9093 1.9268 1.944 1.961 1.978 1.9951 2.0122 2.0294 2.0469 2.0647 2.0827 2.1009 2.1193 2.1378 2.1563 2.1751 2.194 2.2133 2.2329 2.2529 2.2731 2.2938 2.3149 2.3365 2.3587 2.3813 2.4045 2.4279 1.0332 1.0338 1.0353 1.0377 1.0409 1.0447 1.0489 1.0532 1.0572 1.061 1.0645 1.0679 1.071 1.0735 1.0753 1.0763 1.0765 1.076 1.0748 1.0728 1.0702 1.0671 1.0635 1.0595 1.0552 1.051 1.0468 1.0428 1.039 1.0356 1.0328 1.0307 1.0294 1.0289 1.0292 1.0304 1.0327 1.0358 1.0398 1.0441 1.0485 0.7891 0.7873 0.7859 0.7851 0.7851 0.7861 0.788 0.7909 0.7947 0.7991 0.8042 0.8096 0.8149 0.8198 0.8238 0.8268 0.8287 0.8297 0.8296 0.8287 0.827 0.8244 0.821 0.8169 0.8124 0.8078 0.8033 0.7992 0.7957 2.0681 1.6671 1.7014 1.7369 1.7732 1.8097 1.8462 1.8826 1.919 1.9552 1.9911 2.0265 2.061 2.0943 2.1262 2.1565 2.1853 2.2124 2.2381 2.2622 2.2848 2.306 2.3259 2.3446 2.3625 2.38 2.3975 2.4156 2.4349 2.4556 2.4779 2.5014 2.5257 2.5502 2.5746 2.5984 2.6214 2.6431 2.6628 2.68 2.6945 2.7065 0.4853 0.4812 0.4776 0.4747 0.473 0.4728 0.4743 0.4775 0.4823 0.4884 0.4955 0.5032 0.5112 0.5189 0.526 0.5323 0.5375 0.5416 0.5442 0.5452 0.5443 0.5416 0.5372 0.5315 0.525 0.5184 0.5122 0.5071 0.5033 0.5009 0.4998 0.4999 0.5008 0.5025 0.5047 0.5072 0.5098 0.512 0.5136 0.5147 1.611 1.645 1.681 1.7185 1.7572 1.7967 1.8368 1.8769 1.9168 1.9563 1.9951 2.0329 2.0694 2.1044 2.1379 2.1697 2.1999 2.2284 2.2553 2.2805 2.3043 2.327 2.3489 2.3703 2.3914 2.4124 2.4333 2.4542 2.4756 2.4975 2.52 2.5429 2.5661 2.5893 2.6121 2.6341 2.6545 2.6727 2.6883 2.701 2.7111 1.3887 1.4101 1.4346 1.4622 1.4928 1.5261 1.5619 1.5999 1.6401 1.6824 1.7267 1.7729 1.8209 1.8706 1.9218 1.9745 2.0284 2.0834 2.1394 2.1961 2.2531 2.3098 2.3654 2.4188 2.4688 2.5142 2.5539 2.5876 2.6151 2.0889 2.1095 2.1298 2.15 2.1699 2.1899 2.21 2.2306 2.2518 2.2735 2.2957 2.3185 2.3419 0.4156 0.4119 0.4083 0.4049 0.4024 0.4014 0.4021 0.4045 0.4083 0.4132 0.4188 0.4249 0.4311 0.4371 0.4424 0.4469 0.4504 0.4527 0.4537 0.4534 0.4519 0.4493 0.4459 0.442 0.438 0.4341 0.4305 0.4274 0.4246 0.422 0.42 0.4186 0.418 0.4185 0.4197 0.4215 0.4232 0.4246 0.4253 0.4256 0.4256 1.321 1.3436 1.3699 1.3995 1.4317 1.4659 1.5016 1.5387 1.5774 1.6178 1.6601 1.7044 1.7506 1.799 1.8495 1.9024 1.9576 2.015 2.0745 2.1354 2.1974 2.2595 2.3208 2.3801 2.436 2.4869 2.5314 2.5684 2.5975 0.2266 0.234 0.2391 0.2413 0.2403 0.2361 0.2291 0.2197 0.2082 0.1953 0.1814 0.1672 0.1533 0.1405 0.1293 0.1204 0.114 0.11 0.1081 0.1079 0.1087 0.1098 0.1103 0.1095 0.1074 0.1043 0.1009 0.0978 0.0954 0.0936 0.0924 0.0915 0.0907 0.0899 0.0893 0.0888 0.17 0.1902 0.2106 0.2299 0.2467 0.26 0.2693 0.2741 0.2741 0.2694 0.2604 0.2475 0.2314 0.2124 0.1914 0.1692 0.1467 0.1249 0.1044 0.0862 0.0705 0.0579 0.0485 0.042 0.0381 0.0362 0.0356 0.0354 0.0352 0.0347 0.0343 0.0343 0.0349 0.0359 0.0371 0.0381 0.0388 0.039 0.0387 0.0381 0.0373 1.4149 1.4229 1.4343 1.4502 1.4717 1.4994 1.5335 1.5734 1.6185 1.6681 1.7213 1.7776 1.8365 1.8975 1.9603 2.0243 2.0892 2.1548 2.2208 2.2866 2.3518 2.4155 2.4771 2.5353 2.589 2.6371 2.6787 2.7133 2.741 2.7622 2.7781 2.7898 2.7985 2.805 2.8099 2.8134 2.8155 2.8166 2.8167 2.8162 2.8155 0.0552 0.0639 0.0741 0.0852 0.0963 0.1063 0.1142 0.1188 0.12 0.1175 0.1121 0.1046 0.0955 0.0856 0.0754 0.0655 0.0566 0.0493 0.0444 0.0421 0.043 0.0469 0.0539 0.0634 0.0743 0.0853 0.0948 0.1013 0.1038 0.1019 0.0959 0.0869 0.0762 0.0651 0.0548 0.0461 0.0393 0.0342 0.0306 0.0283 0.027 1.4737 1.4775 1.4837 1.4941 1.5107 1.5349 1.5673 1.6075 1.6546 1.7074 1.7647 1.8256 1.8892 1.9547 2.0215 2.0892 2.1571 2.2246 2.2912 2.3564 2.4199 2.4813 2.5399 2.5948 2.6451 2.69 2.7289 2.7617 2.7886 2.8103 2.8275 2.8413 2.8527 2.8621 2.8697 2.8755 2.8794 2.8816 2.8825 2.8875 2.8822 0.0333 0.0337 0.0354 0.0385 0.0428 0.0478 0.053 0.0574 0.0603 0.0612 0.0601 0.057 0.0528 0.0482 0.0439 0.0406 0.0388 0.0391 0.0418 0.0474 0.0558 0.0671 0.0811 0.0968 0.1132 0.1286 0.1415 0.1501 0.1534 0.1508 2.3661 0.793 2.6369 2.6188 2.6541 0.1427 2.4514 2.4746 2.4974 2.5194 2.5407 2.561 2.391 2.4163 2.4417 2.4667 2.4909 2.5142 2.5364 2.5575 2.5775 2.5965 2.6143 0.7913 0.7908 0.7913 0.7929 0.7955 0.7989 0.8029 0.8069 0.8108 0.8142 0.8171 2.6677 2.6789 2.6882 2.696 2.7023 2.7068 2.7098 2.7114 2.7117 2.7114 2.6333 2.6422 2.6473 2.65 2.6514 2.6521 2.6524 2.6525 2.6523 2.6519 2.6515 0.1304 0.1153 0.0994 0.0843 0.0714 0.061 0.0535 0.0483 0.0451 0.0431 2.58 0.5153

Question

PLEASE HELP GUIDE ME EVEN IF IT IS BY TELLING ME WHICH COLUMNS OF THE EXCEL SHEET I SHOULD USE FOR EACH PART OF THE PROBLEM AND HOW TO GO ABOUT IT. I know the excel sheet cannot be accessed so I told pics of the whole graph.

Calculate the ankle angle in degrees in the sagittal plane over the duration of the trial (for each frame). Report the anatomical ankle angle relative to the ankles neutral position. Create a PLOT in Excel or MATLAB showing the ankle angle over time for the duration of the trial. In the handwritten solutions, briefly describe the process that you used (showing sketches, plots, or calculations if needed) and the rationale for your process. Which markers did you use to calculate the ankle angle? What vectors did you create? Is a positive ankle angle plantarflexion or dorsiflexion? b) Use the ankle angle calculated in part a) to calculate ankle angular velocity in the sagittal plane over the duration of the trial (for each frame). Create a PLOT in Excel or MATLAB showing the ankle angular velocity over time for the duration of the trial. c) Use the ankle angular velocity calculated in part b) to calculate ankle angular acceleration in the sagittal plane over the duration of the trial (for each frame). Create a PLOT in Excel or MATLAB showing the ankle angular acceleration over time for the duration of the trial. image text in transcribed

The following data were obtained from: Winter, David A. Biomechanics and Motor Control of Human Movement. New York: Wiley, 1990. Data were collected at 69.9 frames/s (69.9 Hz) Greater Trochanter Lateral Epicondyle of Lateral Malleolus Base Rib Cage Head of Fibula (Hip) Thigh (Knee) (Ankle) Heel 5th Metatarsal Toe Y m m m Y m 0.2143 0.4474 0.2251 m 0.0939 0.1279 0.1653 0.2054 0.2477 0.2917 0.3372 Frame Time S 1 0.0000 2 0.0143 3 0.0286 4 0.0429 5 0.0572 6 0.0715 7 0.0858 8 0.1001 9 0.1144 10 0.1288 11 0.1431 12 0.1574 13 0.1717 14 0.1860 15 0.2003 16 0.2146 17 0.2289 18 0.2432 19 0.2575 20 0.2718 21 0.2861 22 0.3004 23 0.3147 24 0.3290 25 0.3433 26 0.3577 27 0.3720 28 0.3863 29 0.4006 30 0.4149 31 0.4292 m 0.4695 0.49 0.51 0.5294 0.5481 0.5661 0.5836 0.6007 0.6178 0.6349 0.6521 0.6695 0.6869 0.7044 0.7221 0.74 0.7581 0.7768 0.796 0.8158 0.8363 0.8573 0.8787 0.9003 0.9222 0.9443 0.9668 0.9896 1.0128 1.0362 10596 1.0435 1.0467 1.0501 1.0535 1.057 1.0607 1.0644 1.068 1.0713 1.0739 1.0759 1.077 1.0774 1.0773 1.0767 1.0758 1.0745 1.0727 1.0704 1.0675 1.064 1.06 1.0557 1.0512 1.0468 1.0427 1.0392 1.0367 1.0353 1.0349 1.0353 0.4706 0.4928 0.5138 0.5336 0.5526 0.5712 0.5898 0.6086 0.6278 0.6474 0.6673 0.6876 0.7082 0.7288 0.7495 0.7702 0.791 0.8121 0.8335 0.8552 0.8773 0.8997 0.9226 0.946 0.9698 0.994 1.0183 1.0425 1.0664 1.0897 m 0.787 0.7875 0.7889 0.7914 0.7948 0.7991 0.8039 0.8089 0.8139 0.8185 0.8226 0.8259 0.8283 0.8298 0.8302 0.8298 0.8283 0.826 0.8228 0.8189 0.8147 0.8105 0.8067 0.8033 0.8005 0.7983 0.7967 0.7959 0.7959 0.797 0.7991 0.4075 0.4461 0.485 0.5235 0.5613 0.598 0.6336 0.6678 0.7006 0.7319 0.7615 0.7896 0.8159 0.8407 0.8641 0.886 0.9067 0.9263 0.9448 0.9627 0.9803 0.9981 1.0165 1.0358 1.0561 1.0776 1.0997 1.1223 1.1448 1.1669 1.1885 m 0.4754 0.4741 0.4746 0.4771 0.4815 0.4877 0.4952 0.5034 0.5118 0.52 0.5278 0.5347 0.5404 0.5447 0.5474 0.5483 0.5476 0.5451 0.5412 0.5361 0.5303 0.5242 0.5186 0.5138 0.51 0.5072 0.5053 0.5042 0.5039 0.5046 0.5061 m 0.357 0.3985 0.4407 0.4829 0.5244 0.5649 0.6041 0.642 0.6784 0.7133 0.7464 0.7779 0.8076 0.8357 0.862 0.8868 0.91 0.9318 0.9526 0.9727 0.9925 1.0124 1.0326 1.0531 1.0741 1.0953 1.1169 1.1384 1.1598 1.1808 1.2015 Y m 0.4052 0.4036 0.4034 0.4049 0.4082 0.413 0.4189 0.4255 0.4324 0.4391 0.4453 0.4506 0.4549 0.458 0.4598 0.4604 0.4597 0.4579 0.4551 0.4514 0.4472 0.443 0.4389 0.435 0.4314 0.4279 0.4247 0.422 0.4202 0.4194 1.4196 0.3841 0.4322 0.4817 0.5326 0.5848 0.6384 0.6931 0.7486 0.8045 0.86 0.9145 0.9672 1.0173 1.0641 1.1068 1.1447 1.1771 1.2038 1.2249 1.2413 0.2337 0.2396 0.2423 0.2417 0.2379 0.2311 0.2219 0.2106 0.1979 0.1844 0.1707 0.1577 0.146 0.136 0.1282 0.1226 0.1192 0.1177 0.1175 0.1182 0.119 0.1193 0.1185 0.1162 0.1126 0.1081 0.1037 0.0999 0.0972 m 0.03 0.0659 0.1042 0.144 0.1849 0.2267 0.2696 0.3138 0.3599 0.4083 0.459 0.512 0.5671 0.6242 0.6829 0.7427 0.8029 0.8628 0.9215 0.9779 1.0309 1.079 1.1212 1.1565 1.1844 1.2051 1.2192 1.228 1.2327 1.235 1.236 m 0.236 0.2531 0.2655 0.2723 0.2734 0.2692 0.26 0.2466 0.2299 0.2107 0.19 0.1687 0.1477 0.1276 0.109 0.0925 0.0783 0.0668 0.0582 0.0521 0.0483 0.0462 0.0451 0.0441 0.0428 0.0411 0.0395 0.0384 0.0381 0.0385 00394 m 0.0845 0.1114 0.1452 0.1854 0.2311 0.2813 0.3353 0.3923 0.4517 0.513 0.5758 0.6396 0.704 0.7686 0.833 0.8966 0.959 1.0197 1.078 1.133 1.1835 1.2288 1.268 1.3009 1.3274 1.3477 1.3626 1.3732 1.3807 1.386 1.3899 m 0.0926 0.1042 0.1137 0.1201 0.123 0.1222 0.118 0.1112 0.1024 0.0927 0.0828 0.0737 0.0659 0.0601 0.0565 0.0555 0.0572 0.0614 0.068 0.0765 0.0859 0.0952 0.1031 0.1081 0.1094 0.1066 0.1001 0.0907 0.0797 0.0685 0.0582 m 0.1283 0.1515 0.1833 0.2232 0.2702 0.3229 0.3801 0.4407 0.5039 0.5689 0.635 0.7018 0.7685 0.8349 0.9003 0.9642 1.0262 1.0855 1.1414 1.193 1.24 1.2817 1.318 1.3488 1.3741 1.3945 1.4107 1.4237 Y m 0.0464 0.0521 0.058 0.063 0.0662 0.0671 0.0659 0.0631 0.0594 0.0554 0.0518 0.0493 0.0485 0.0497 0.0534 0.0596 0.0686 0.0801 0.0936 0.1083 0.1232 0.137 0.1483 0.1558 0.1583 0.1554 0.1474 0.1353 0.1206 0.105 0898 1.4343 1.2539 1.2639 1.272 1.2789 1.4432 1.4504 1.2789 1.2846 1.2894 1.2931 1.296 1.2982 1.2999 1.3012 1.3022 1.3026 1.3026 1.3023 1.302 1.3017 1.3016 1.3018 1.3024 0.0582 0.0496 0.0431 0.0387 0.0363 0.0353 0.0351 0.0353 0.0355 0.0357 1.3034 31 0.4292 32 0.4435 33 0.4578 34 0.4721 35 0.4864 36 0.5007 37 0.5150 38 0.5293 39 0.5436 40 0.5579 41 0.5722 42 0.5866 43 0.6009 44 0.6152 45 0.6295 46 0.6438 47 0.6581 48 0.6724 49 0.6867 50 0.7010 51 0.7153 52 0.7296 53 0.7439 54 0.7582 55 0.7725 56 0.7868 57 0.8011 58 0.8155 59 0.8298 60 0.8441 61 0.8584 62 0.8727 63 0.8870 64 0.9013 65 0.9156 66 0.9299 67 0.9442 1.0596 1.0828 1.1056 1.1279 1.1496 1.1707 1.1915 1.2118 1.2317 1.2511 1.2702 1.289 1.3076 1.3263 1.345 1.3638 1.3829 1.4021 1.4217 1.4414 1.4614 1.4814 1.5015 1.5217 1.5421 1.5626 1.5833 1.6041 1.625 1.6461 1.6678 1.6903 1.7136 1.7377 1.7623 1.7866 1.8101 1.0353 1.0366 1.0384 1.0408 1.0438 1.0473 1.0512 1.0552 1.0594 1.0634 1.067 1.071 1.0744 1.0773 1.0796 1.081 1.0815 1.0809 1.0793 1.0769 1.0739 1.0704 1.0666 1.0624 1.0582 1.0541 1.0503 1.0468 1.0439 1.0413 1.0392 1.0373 1.0357 1.0343 1.0334 1.0332 1.0338 1.0897 1.1121 1.1336 1.154 1.1736 1.1928 1.2118 1.2307 1.2494 1.2675 1.285 1.3018 1.3178 1.3332 1.3484 1.3633 1.3782 1.3931 1.4083 1.4239 1.44 1.4564 1.4731 1.49 1.5071 1.5247 1.5426 1.561 1.58 1.5999 1.621 1.6436 1.6679 1.6937 1.7208 1.7483 1.7756 0.7991 0.8023 0.806 0.81 0.8139 0.8173 0.8205 0.8234 0.826 0.8282 0.83 0.8314 0.8325 0.8333 0.8335 0.833 0.8318 0.83 0.8279 0.8255 0.823 0.8204 0.8178 0.8151 0.8127 0.8103 0.8081 0.8059 0.8038 0.8018 0.7998 0.7977 0.7955 0.7933 0.7911 0.7891 0.7873 1.1885 1.2097 1.2304 1.25 1.2679 1.2839 1.2977 1.3097 1.32 1.3288 1.3365 1.3435 1.3502 1.357 1.3639 1.371 1.3784 1.3859 1.3937 1.4018 1.4102 1.4188 1.4275 1.4366 1.4463 1.4571 1.469 1.4822 1.4969 1.5135 1.5322 1.5534 1.5775 1.6046 1.6346 1.6671 1.7014 0.5061 0.5083 0.511 0.5138 0.516 0.5175 0.5182 0.5183 0.518 0.5175 0.5171 0.517 0.5172 0.5175 0.5175 0.5169 0.5157 0.5141 0.5123 0.5105 0.5089 0.5077 0.5069 0.5065 0.5062 0.5061 0.5059 0.5055 0.5048 0.5037 0.5021 0.4999 0.4969 0.4933 0.4894 0.4853 0.4812 1.2015 1.2216 1.241 1.2592 1.2755 1.2898 1.3019 1.3119 1.3198 1.326 1.3309 1.3352 1.3393 1.3435 1.3477 1.3521 1.3567 1.3617 1.3669 1.3725 1.3785 1.3849 1.3917 1.3988 1.4066 1.4151 1.4248 1.4359 1.4486 1.4635 1.4809 1.5011 1.5242 1.5503 1.5793 1.611 1.645 0.4196 0.4207 0.4221 0.4235 0.4247 0.4255 0.426 0.4262 0.4265 0.4269 0.4274 0.4281 0.4287 0.4291 0.4291 0.4287 0.4278 0.4268 0.4256 0.4246 0.4238 0.4235 0.4236 0.4241 0.4247 0.4254 0.426 0.4265 0.4269 0.427 0.4267 0.4257 0.4242 0.4219 0.4189 0.4156 0.4119 1.3046 1.3059 1.3074 1.309 1.3104 1.3117 1.3129 1.3142 1.3157 1.3174 1.3196 1.3227 1.3274 1.334 1.3432 1.3552 1.3704 1.3887 1.4101 0.0972 0.0955 0.0945 0.094 0.0937 0.0935 0.0934 0.0935 0.0936 0.0938 0.094 0.0945 0.0952 0.0962 0.0974 0.0985 0.0994 0.1 0.1005 0.1009 0.1014 0.102 0.1029 0.1042 0.1061 0.1086 0.1118 0.1158 0.1205 0.1257 0.1317 0.1385 0.1463 0.1549 0.1645 0.1749 0.1857 1.236 1.2365 1.237 1.2377 1.2384 1.2394 1.2406 1.2419 1.2429 1.2435 1.2435 1.2431 1.2425 1.2421 1.2418 1.242 1.2425 1.2433 1.2445 1.246 1.2477 1.2494 1.251 1.2523 1.2536 1.2547 1.2559 1.2571 1.2585 1.2606 1.264 1.2692 1.2769 1.2878 1.3024 1.321 1.3436 0.0394 0.0404 0.0414 0.0424 0.0432 0.044 0.0448 0.0453 0.0457 0.0458 0.0458 0.0458 0.0459 0.0463 0.0469 0.0477 0.0484 0.0489 0.0494 0.0498 0.0504 0.0516 0.0534 0.0559 0.0591 0.0631 0.0677 0.0731 0.0794 0.0869 0.096 0.1068 0.1195 0.1343 0.1511 0.17 0.1902 1.3899 1.3928 1.3949 1.3965 1.3977 1.3987 1.3997 1.4006 1.4013 1.4016 1.4014 1.401 1.4005 1.4001 1.3998 1.3997 1.3997 1.3997 1.3998 1.4001 1.4006 1.4014 1.4023 1.4031 1.4038 1.4043 1.4045 1.4042 1.4035 1.4028 1.4023 1.4024 1.4035 1.4058 1.4094 1.4149 1.4229 0.0359 0.036 0.0361 0.0361 0.0359 0.0355 0.0351 0.0346 0.0344 0.0343 0.0342 0.034 0.0338 0.0337 0.0339 0.0345 0.0353 0.0361 0.0369 0.0374 0.038 0.0389 0.0406 0.0437 0.0485 0.0552 0.0639 1.4504 1.4563 1.4609 1.4644 1.4668 1.4685 1.4697 1.4706 1.4712 1.4713 1.4712 1.4709 1.4705 1.4701 1.4699 1.4698 1.4698 1.47 1.4703 1.4708 1.4714 1.4719 1.4724 1.4726 1.4727 1.4725 1.4721 1.4714 1.4705 1.4695 1.4687 1.4684 1.4687 1.4696 1.4712 1.4737 1.4775 0.0898 0.0765 0.0658 0.0578 0.0525 0.0492 0.0476 0.0469 0.0467 0.0466 0.0463 0.0459 0.0453 0.0448 0.0443 0.0437 0.0431 0.0424 0.0417 0.041 0.0403 0.0397 0.0393 0.039 0.0388 0.0389 0.039 0.0393 0.0394 0.0394 0.039 0.0381 0.0368 0.0353 0.034 0.0333 0.0337 0.1749 0.1857 0.1967 0.2074 0.2175 1.7483 1.7756 1.802 1.827 1.8505 1.8723 1.8927 1.912 1.9308 1.9493 1.968 1.987 2.0066 2.0267 2.0473 66 0.9299 67 0.9442 68 0.9585 69 0.9728 70 0.9871 71 1.0014 72 1.0157 73 1.0300 74 1.0443 75 1.0587 76 1.0730 77 1.0873 78 1.1016 79 1.1159 80 1.1302 81 1.1445 82 1.1588 83 1.1731 84 1.1874 85 1.2017 86 1.2160 87 1.2303 88 1.2446 89 1.2589 90 1.2732 91 1.2876 92 1.3019 93 1.3162 94 1.3305 95 1.3448 96 1.3591 97 1.3734 98 1.3877 99 1.4020 100 1.4163 101 1.4306 102 1.4449 103 1.4592 104 1.4735 105 1.4878 106 1.5021 1.7866 1.8101 1.8323 1.8531 1.8727 1.8914 1.9093 1.9268 1.944 1.961 1.978 1.9951 2.0122 2.0294 2.0469 2.0647 2.0827 2.1009 2.1193 2.1378 2.1563 2.1751 2.194 2.2133 2.2329 2.2529 2.2731 2.2938 2.3149 2.3365 2.3587 2.3813 2.4045 2.4279 1.0332 1.0338 1.0353 1.0377 1.0409 1.0447 1.0489 1.0532 1.0572 1.061 1.0645 1.0679 1.071 1.0735 1.0753 1.0763 1.0765 1.076 1.0748 1.0728 1.0702 1.0671 1.0635 1.0595 1.0552 1.051 1.0468 1.0428 1.039 1.0356 1.0328 1.0307 1.0294 1.0289 1.0292 1.0304 1.0327 1.0358 1.0398 1.0441 1.0485 0.7891 0.7873 0.7859 0.7851 0.7851 0.7861 0.788 0.7909 0.7947 0.7991 0.8042 0.8096 0.8149 0.8198 0.8238 0.8268 0.8287 0.8297 0.8296 0.8287 0.827 0.8244 0.821 0.8169 0.8124 0.8078 0.8033 0.7992 0.7957 2.0681 1.6671 1.7014 1.7369 1.7732 1.8097 1.8462 1.8826 1.919 1.9552 1.9911 2.0265 2.061 2.0943 2.1262 2.1565 2.1853 2.2124 2.2381 2.2622 2.2848 2.306 2.3259 2.3446 2.3625 2.38 2.3975 2.4156 2.4349 2.4556 2.4779 2.5014 2.5257 2.5502 2.5746 2.5984 2.6214 2.6431 2.6628 2.68 2.6945 2.7065 0.4853 0.4812 0.4776 0.4747 0.473 0.4728 0.4743 0.4775 0.4823 0.4884 0.4955 0.5032 0.5112 0.5189 0.526 0.5323 0.5375 0.5416 0.5442 0.5452 0.5443 0.5416 0.5372 0.5315 0.525 0.5184 0.5122 0.5071 0.5033 0.5009 0.4998 0.4999 0.5008 0.5025 0.5047 0.5072 0.5098 0.512 0.5136 0.5147 1.611 1.645 1.681 1.7185 1.7572 1.7967 1.8368 1.8769 1.9168 1.9563 1.9951 2.0329 2.0694 2.1044 2.1379 2.1697 2.1999 2.2284 2.2553 2.2805 2.3043 2.327 2.3489 2.3703 2.3914 2.4124 2.4333 2.4542 2.4756 2.4975 2.52 2.5429 2.5661 2.5893 2.6121 2.6341 2.6545 2.6727 2.6883 2.701 2.7111 1.3887 1.4101 1.4346 1.4622 1.4928 1.5261 1.5619 1.5999 1.6401 1.6824 1.7267 1.7729 1.8209 1.8706 1.9218 1.9745 2.0284 2.0834 2.1394 2.1961 2.2531 2.3098 2.3654 2.4188 2.4688 2.5142 2.5539 2.5876 2.6151 2.0889 2.1095 2.1298 2.15 2.1699 2.1899 2.21 2.2306 2.2518 2.2735 2.2957 2.3185 2.3419 0.4156 0.4119 0.4083 0.4049 0.4024 0.4014 0.4021 0.4045 0.4083 0.4132 0.4188 0.4249 0.4311 0.4371 0.4424 0.4469 0.4504 0.4527 0.4537 0.4534 0.4519 0.4493 0.4459 0.442 0.438 0.4341 0.4305 0.4274 0.4246 0.422 0.42 0.4186 0.418 0.4185 0.4197 0.4215 0.4232 0.4246 0.4253 0.4256 0.4256 1.321 1.3436 1.3699 1.3995 1.4317 1.4659 1.5016 1.5387 1.5774 1.6178 1.6601 1.7044 1.7506 1.799 1.8495 1.9024 1.9576 2.015 2.0745 2.1354 2.1974 2.2595 2.3208 2.3801 2.436 2.4869 2.5314 2.5684 2.5975 0.2266 0.234 0.2391 0.2413 0.2403 0.2361 0.2291 0.2197 0.2082 0.1953 0.1814 0.1672 0.1533 0.1405 0.1293 0.1204 0.114 0.11 0.1081 0.1079 0.1087 0.1098 0.1103 0.1095 0.1074 0.1043 0.1009 0.0978 0.0954 0.0936 0.0924 0.0915 0.0907 0.0899 0.0893 0.0888 0.17 0.1902 0.2106 0.2299 0.2467 0.26 0.2693 0.2741 0.2741 0.2694 0.2604 0.2475 0.2314 0.2124 0.1914 0.1692 0.1467 0.1249 0.1044 0.0862 0.0705 0.0579 0.0485 0.042 0.0381 0.0362 0.0356 0.0354 0.0352 0.0347 0.0343 0.0343 0.0349 0.0359 0.0371 0.0381 0.0388 0.039 0.0387 0.0381 0.0373 1.4149 1.4229 1.4343 1.4502 1.4717 1.4994 1.5335 1.5734 1.6185 1.6681 1.7213 1.7776 1.8365 1.8975 1.9603 2.0243 2.0892 2.1548 2.2208 2.2866 2.3518 2.4155 2.4771 2.5353 2.589 2.6371 2.6787 2.7133 2.741 2.7622 2.7781 2.7898 2.7985 2.805 2.8099 2.8134 2.8155 2.8166 2.8167 2.8162 2.8155 0.0552 0.0639 0.0741 0.0852 0.0963 0.1063 0.1142 0.1188 0.12 0.1175 0.1121 0.1046 0.0955 0.0856 0.0754 0.0655 0.0566 0.0493 0.0444 0.0421 0.043 0.0469 0.0539 0.0634 0.0743 0.0853 0.0948 0.1013 0.1038 0.1019 0.0959 0.0869 0.0762 0.0651 0.0548 0.0461 0.0393 0.0342 0.0306 0.0283 0.027 1.4737 1.4775 1.4837 1.4941 1.5107 1.5349 1.5673 1.6075 1.6546 1.7074 1.7647 1.8256 1.8892 1.9547 2.0215 2.0892 2.1571 2.2246 2.2912 2.3564 2.4199 2.4813 2.5399 2.5948 2.6451 2.69 2.7289 2.7617 2.7886 2.8103 2.8275 2.8413 2.8527 2.8621 2.8697 2.8755 2.8794 2.8816 2.8825 2.8875 2.8822 0.0333 0.0337 0.0354 0.0385 0.0428 0.0478 0.053 0.0574 0.0603 0.0612 0.0601 0.057 0.0528 0.0482 0.0439 0.0406 0.0388 0.0391 0.0418 0.0474 0.0558 0.0671 0.0811 0.0968 0.1132 0.1286 0.1415 0.1501 0.1534 0.1508 2.3661 0.793 2.6369 2.6188 2.6541 0.1427 2.4514 2.4746 2.4974 2.5194 2.5407 2.561 2.391 2.4163 2.4417 2.4667 2.4909 2.5142 2.5364 2.5575 2.5775 2.5965 2.6143 0.7913 0.7908 0.7913 0.7929 0.7955 0.7989 0.8029 0.8069 0.8108 0.8142 0.8171 2.6677 2.6789 2.6882 2.696 2.7023 2.7068 2.7098 2.7114 2.7117 2.7114 2.6333 2.6422 2.6473 2.65 2.6514 2.6521 2.6524 2.6525 2.6523 2.6519 2.6515 0.1304 0.1153 0.0994 0.0843 0.0714 0.061 0.0535 0.0483 0.0451 0.0431 2.58 0.5153 The following data were obtained from: Winter, David A. Biomechanics and Motor Control of Human Movement. New York: Wiley, 1990. Data were collected at 69.9 frames/s (69.9 Hz) Greater Trochanter Lateral Epicondyle of Lateral Malleolus Base Rib Cage Head of Fibula (Hip) Thigh (Knee) (Ankle) Heel 5th Metatarsal Toe Y m m m Y m 0.2143 0.4474 0.2251 m 0.0939 0.1279 0.1653 0.2054 0.2477 0.2917 0.3372 Frame Time S 1 0.0000 2 0.0143 3 0.0286 4 0.0429 5 0.0572 6 0.0715 7 0.0858 8 0.1001 9 0.1144 10 0.1288 11 0.1431 12 0.1574 13 0.1717 14 0.1860 15 0.2003 16 0.2146 17 0.2289 18 0.2432 19 0.2575 20 0.2718 21 0.2861 22 0.3004 23 0.3147 24 0.3290 25 0.3433 26 0.3577 27 0.3720 28 0.3863 29 0.4006 30 0.4149 31 0.4292 m 0.4695 0.49 0.51 0.5294 0.5481 0.5661 0.5836 0.6007 0.6178 0.6349 0.6521 0.6695 0.6869 0.7044 0.7221 0.74 0.7581 0.7768 0.796 0.8158 0.8363 0.8573 0.8787 0.9003 0.9222 0.9443 0.9668 0.9896 1.0128 1.0362 10596 1.0435 1.0467 1.0501 1.0535 1.057 1.0607 1.0644 1.068 1.0713 1.0739 1.0759 1.077 1.0774 1.0773 1.0767 1.0758 1.0745 1.0727 1.0704 1.0675 1.064 1.06 1.0557 1.0512 1.0468 1.0427 1.0392 1.0367 1.0353 1.0349 1.0353 0.4706 0.4928 0.5138 0.5336 0.5526 0.5712 0.5898 0.6086 0.6278 0.6474 0.6673 0.6876 0.7082 0.7288 0.7495 0.7702 0.791 0.8121 0.8335 0.8552 0.8773 0.8997 0.9226 0.946 0.9698 0.994 1.0183 1.0425 1.0664 1.0897 m 0.787 0.7875 0.7889 0.7914 0.7948 0.7991 0.8039 0.8089 0.8139 0.8185 0.8226 0.8259 0.8283 0.8298 0.8302 0.8298 0.8283 0.826 0.8228 0.8189 0.8147 0.8105 0.8067 0.8033 0.8005 0.7983 0.7967 0.7959 0.7959 0.797 0.7991 0.4075 0.4461 0.485 0.5235 0.5613 0.598 0.6336 0.6678 0.7006 0.7319 0.7615 0.7896 0.8159 0.8407 0.8641 0.886 0.9067 0.9263 0.9448 0.9627 0.9803 0.9981 1.0165 1.0358 1.0561 1.0776 1.0997 1.1223 1.1448 1.1669 1.1885 m 0.4754 0.4741 0.4746 0.4771 0.4815 0.4877 0.4952 0.5034 0.5118 0.52 0.5278 0.5347 0.5404 0.5447 0.5474 0.5483 0.5476 0.5451 0.5412 0.5361 0.5303 0.5242 0.5186 0.5138 0.51 0.5072 0.5053 0.5042 0.5039 0.5046 0.5061 m 0.357 0.3985 0.4407 0.4829 0.5244 0.5649 0.6041 0.642 0.6784 0.7133 0.7464 0.7779 0.8076 0.8357 0.862 0.8868 0.91 0.9318 0.9526 0.9727 0.9925 1.0124 1.0326 1.0531 1.0741 1.0953 1.1169 1.1384 1.1598 1.1808 1.2015 Y m 0.4052 0.4036 0.4034 0.4049 0.4082 0.413 0.4189 0.4255 0.4324 0.4391 0.4453 0.4506 0.4549 0.458 0.4598 0.4604 0.4597 0.4579 0.4551 0.4514 0.4472 0.443 0.4389 0.435 0.4314 0.4279 0.4247 0.422 0.4202 0.4194 1.4196 0.3841 0.4322 0.4817 0.5326 0.5848 0.6384 0.6931 0.7486 0.8045 0.86 0.9145 0.9672 1.0173 1.0641 1.1068 1.1447 1.1771 1.2038 1.2249 1.2413 0.2337 0.2396 0.2423 0.2417 0.2379 0.2311 0.2219 0.2106 0.1979 0.1844 0.1707 0.1577 0.146 0.136 0.1282 0.1226 0.1192 0.1177 0.1175 0.1182 0.119 0.1193 0.1185 0.1162 0.1126 0.1081 0.1037 0.0999 0.0972 m 0.03 0.0659 0.1042 0.144 0.1849 0.2267 0.2696 0.3138 0.3599 0.4083 0.459 0.512 0.5671 0.6242 0.6829 0.7427 0.8029 0.8628 0.9215 0.9779 1.0309 1.079 1.1212 1.1565 1.1844 1.2051 1.2192 1.228 1.2327 1.235 1.236 m 0.236 0.2531 0.2655 0.2723 0.2734 0.2692 0.26 0.2466 0.2299 0.2107 0.19 0.1687 0.1477 0.1276 0.109 0.0925 0.0783 0.0668 0.0582 0.0521 0.0483 0.0462 0.0451 0.0441 0.0428 0.0411 0.0395 0.0384 0.0381 0.0385 00394 m 0.0845 0.1114 0.1452 0.1854 0.2311 0.2813 0.3353 0.3923 0.4517 0.513 0.5758 0.6396 0.704 0.7686 0.833 0.8966 0.959 1.0197 1.078 1.133 1.1835 1.2288 1.268 1.3009 1.3274 1.3477 1.3626 1.3732 1.3807 1.386 1.3899 m 0.0926 0.1042 0.1137 0.1201 0.123 0.1222 0.118 0.1112 0.1024 0.0927 0.0828 0.0737 0.0659 0.0601 0.0565 0.0555 0.0572 0.0614 0.068 0.0765 0.0859 0.0952 0.1031 0.1081 0.1094 0.1066 0.1001 0.0907 0.0797 0.0685 0.0582 m 0.1283 0.1515 0.1833 0.2232 0.2702 0.3229 0.3801 0.4407 0.5039 0.5689 0.635 0.7018 0.7685 0.8349 0.9003 0.9642 1.0262 1.0855 1.1414 1.193 1.24 1.2817 1.318 1.3488 1.3741 1.3945 1.4107 1.4237 Y m 0.0464 0.0521 0.058 0.063 0.0662 0.0671 0.0659 0.0631 0.0594 0.0554 0.0518 0.0493 0.0485 0.0497 0.0534 0.0596 0.0686 0.0801 0.0936 0.1083 0.1232 0.137 0.1483 0.1558 0.1583 0.1554 0.1474 0.1353 0.1206 0.105 0898 1.4343 1.2539 1.2639 1.272 1.2789 1.4432 1.4504 1.2789 1.2846 1.2894 1.2931 1.296 1.2982 1.2999 1.3012 1.3022 1.3026 1.3026 1.3023 1.302 1.3017 1.3016 1.3018 1.3024 0.0582 0.0496 0.0431 0.0387 0.0363 0.0353 0.0351 0.0353 0.0355 0.0357 1.3034 31 0.4292 32 0.4435 33 0.4578 34 0.4721 35 0.4864 36 0.5007 37 0.5150 38 0.5293 39 0.5436 40 0.5579 41 0.5722 42 0.5866 43 0.6009 44 0.6152 45 0.6295 46 0.6438 47 0.6581 48 0.6724 49 0.6867 50 0.7010 51 0.7153 52 0.7296 53 0.7439 54 0.7582 55 0.7725 56 0.7868 57 0.8011 58 0.8155 59 0.8298 60 0.8441 61 0.8584 62 0.8727 63 0.8870 64 0.9013 65 0.9156 66 0.9299 67 0.9442 1.0596 1.0828 1.1056 1.1279 1.1496 1.1707 1.1915 1.2118 1.2317 1.2511 1.2702 1.289 1.3076 1.3263 1.345 1.3638 1.3829 1.4021 1.4217 1.4414 1.4614 1.4814 1.5015 1.5217 1.5421 1.5626 1.5833 1.6041 1.625 1.6461 1.6678 1.6903 1.7136 1.7377 1.7623 1.7866 1.8101 1.0353 1.0366 1.0384 1.0408 1.0438 1.0473 1.0512 1.0552 1.0594 1.0634 1.067 1.071 1.0744 1.0773 1.0796 1.081 1.0815 1.0809 1.0793 1.0769 1.0739 1.0704 1.0666 1.0624 1.0582 1.0541 1.0503 1.0468 1.0439 1.0413 1.0392 1.0373 1.0357 1.0343 1.0334 1.0332 1.0338 1.0897 1.1121 1.1336 1.154 1.1736 1.1928 1.2118 1.2307 1.2494 1.2675 1.285 1.3018 1.3178 1.3332 1.3484 1.3633 1.3782 1.3931 1.4083 1.4239 1.44 1.4564 1.4731 1.49 1.5071 1.5247 1.5426 1.561 1.58 1.5999 1.621 1.6436 1.6679 1.6937 1.7208 1.7483 1.7756 0.7991 0.8023 0.806 0.81 0.8139 0.8173 0.8205 0.8234 0.826 0.8282 0.83 0.8314 0.8325 0.8333 0.8335 0.833 0.8318 0.83 0.8279 0.8255 0.823 0.8204 0.8178 0.8151 0.8127 0.8103 0.8081 0.8059 0.8038 0.8018 0.7998 0.7977 0.7955 0.7933 0.7911 0.7891 0.7873 1.1885 1.2097 1.2304 1.25 1.2679 1.2839 1.2977 1.3097 1.32 1.3288 1.3365 1.3435 1.3502 1.357 1.3639 1.371 1.3784 1.3859 1.3937 1.4018 1.4102 1.4188 1.4275 1.4366 1.4463 1.4571 1.469 1.4822 1.4969 1.5135 1.5322 1.5534 1.5775 1.6046 1.6346 1.6671 1.7014 0.5061 0.5083 0.511 0.5138 0.516 0.5175 0.5182 0.5183 0.518 0.5175 0.5171 0.517 0.5172 0.5175 0.5175 0.5169 0.5157 0.5141 0.5123 0.5105 0.5089 0.5077 0.5069 0.5065 0.5062 0.5061 0.5059 0.5055 0.5048 0.5037 0.5021 0.4999 0.4969 0.4933 0.4894 0.4853 0.4812 1.2015 1.2216 1.241 1.2592 1.2755 1.2898 1.3019 1.3119 1.3198 1.326 1.3309 1.3352 1.3393 1.3435 1.3477 1.3521 1.3567 1.3617 1.3669 1.3725 1.3785 1.3849 1.3917 1.3988 1.4066 1.4151 1.4248 1.4359 1.4486 1.4635 1.4809 1.5011 1.5242 1.5503 1.5793 1.611 1.645 0.4196 0.4207 0.4221 0.4235 0.4247 0.4255 0.426 0.4262 0.4265 0.4269 0.4274 0.4281 0.4287 0.4291 0.4291 0.4287 0.4278 0.4268 0.4256 0.4246 0.4238 0.4235 0.4236 0.4241 0.4247 0.4254 0.426 0.4265 0.4269 0.427 0.4267 0.4257 0.4242 0.4219 0.4189 0.4156 0.4119 1.3046 1.3059 1.3074 1.309 1.3104 1.3117 1.3129 1.3142 1.3157 1.3174 1.3196 1.3227 1.3274 1.334 1.3432 1.3552 1.3704 1.3887 1.4101 0.0972 0.0955 0.0945 0.094 0.0937 0.0935 0.0934 0.0935 0.0936 0.0938 0.094 0.0945 0.0952 0.0962 0.0974 0.0985 0.0994 0.1 0.1005 0.1009 0.1014 0.102 0.1029 0.1042 0.1061 0.1086 0.1118 0.1158 0.1205 0.1257 0.1317 0.1385 0.1463 0.1549 0.1645 0.1749 0.1857 1.236 1.2365 1.237 1.2377 1.2384 1.2394 1.2406 1.2419 1.2429 1.2435 1.2435 1.2431 1.2425 1.2421 1.2418 1.242 1.2425 1.2433 1.2445 1.246 1.2477 1.2494 1.251 1.2523 1.2536 1.2547 1.2559 1.2571 1.2585 1.2606 1.264 1.2692 1.2769 1.2878 1.3024 1.321 1.3436 0.0394 0.0404 0.0414 0.0424 0.0432 0.044 0.0448 0.0453 0.0457 0.0458 0.0458 0.0458 0.0459 0.0463 0.0469 0.0477 0.0484 0.0489 0.0494 0.0498 0.0504 0.0516 0.0534 0.0559 0.0591 0.0631 0.0677 0.0731 0.0794 0.0869 0.096 0.1068 0.1195 0.1343 0.1511 0.17 0.1902 1.3899 1.3928 1.3949 1.3965 1.3977 1.3987 1.3997 1.4006 1.4013 1.4016 1.4014 1.401 1.4005 1.4001 1.3998 1.3997 1.3997 1.3997 1.3998 1.4001 1.4006 1.4014 1.4023 1.4031 1.4038 1.4043 1.4045 1.4042 1.4035 1.4028 1.4023 1.4024 1.4035 1.4058 1.4094 1.4149 1.4229 0.0359 0.036 0.0361 0.0361 0.0359 0.0355 0.0351 0.0346 0.0344 0.0343 0.0342 0.034 0.0338 0.0337 0.0339 0.0345 0.0353 0.0361 0.0369 0.0374 0.038 0.0389 0.0406 0.0437 0.0485 0.0552 0.0639 1.4504 1.4563 1.4609 1.4644 1.4668 1.4685 1.4697 1.4706 1.4712 1.4713 1.4712 1.4709 1.4705 1.4701 1.4699 1.4698 1.4698 1.47 1.4703 1.4708 1.4714 1.4719 1.4724 1.4726 1.4727 1.4725 1.4721 1.4714 1.4705 1.4695 1.4687 1.4684 1.4687 1.4696 1.4712 1.4737 1.4775 0.0898 0.0765 0.0658 0.0578 0.0525 0.0492 0.0476 0.0469 0.0467 0.0466 0.0463 0.0459 0.0453 0.0448 0.0443 0.0437 0.0431 0.0424 0.0417 0.041 0.0403 0.0397 0.0393 0.039 0.0388 0.0389 0.039 0.0393 0.0394 0.0394 0.039 0.0381 0.0368 0.0353 0.034 0.0333 0.0337 0.1749 0.1857 0.1967 0.2074 0.2175 1.7483 1.7756 1.802 1.827 1.8505 1.8723 1.8927 1.912 1.9308 1.9493 1.968 1.987 2.0066 2.0267 2.0473 66 0.9299 67 0.9442 68 0.9585 69 0.9728 70 0.9871 71 1.0014 72 1.0157 73 1.0300 74 1.0443 75 1.0587 76 1.0730 77 1.0873 78 1.1016 79 1.1159 80 1.1302 81 1.1445 82 1.1588 83 1.1731 84 1.1874 85 1.2017 86 1.2160 87 1.2303 88 1.2446 89 1.2589 90 1.2732 91 1.2876 92 1.3019 93 1.3162 94 1.3305 95 1.3448 96 1.3591 97 1.3734 98 1.3877 99 1.4020 100 1.4163 101 1.4306 102 1.4449 103 1.4592 104 1.4735 105 1.4878 106 1.5021 1.7866 1.8101 1.8323 1.8531 1.8727 1.8914 1.9093 1.9268 1.944 1.961 1.978 1.9951 2.0122 2.0294 2.0469 2.0647 2.0827 2.1009 2.1193 2.1378 2.1563 2.1751 2.194 2.2133 2.2329 2.2529 2.2731 2.2938 2.3149 2.3365 2.3587 2.3813 2.4045 2.4279 1.0332 1.0338 1.0353 1.0377 1.0409 1.0447 1.0489 1.0532 1.0572 1.061 1.0645 1.0679 1.071 1.0735 1.0753 1.0763 1.0765 1.076 1.0748 1.0728 1.0702 1.0671 1.0635 1.0595 1.0552 1.051 1.0468 1.0428 1.039 1.0356 1.0328 1.0307 1.0294 1.0289 1.0292 1.0304 1.0327 1.0358 1.0398 1.0441 1.0485 0.7891 0.7873 0.7859 0.7851 0.7851 0.7861 0.788 0.7909 0.7947 0.7991 0.8042 0.8096 0.8149 0.8198 0.8238 0.8268 0.8287 0.8297 0.8296 0.8287 0.827 0.8244 0.821 0.8169 0.8124 0.8078 0.8033 0.7992 0.7957 2.0681 1.6671 1.7014 1.7369 1.7732 1.8097 1.8462 1.8826 1.919 1.9552 1.9911 2.0265 2.061 2.0943 2.1262 2.1565 2.1853 2.2124 2.2381 2.2622 2.2848 2.306 2.3259 2.3446 2.3625 2.38 2.3975 2.4156 2.4349 2.4556 2.4779 2.5014 2.5257 2.5502 2.5746 2.5984 2.6214 2.6431 2.6628 2.68 2.6945 2.7065 0.4853 0.4812 0.4776 0.4747 0.473 0.4728 0.4743 0.4775 0.4823 0.4884 0.4955 0.5032 0.5112 0.5189 0.526 0.5323 0.5375 0.5416 0.5442 0.5452 0.5443 0.5416 0.5372 0.5315 0.525 0.5184 0.5122 0.5071 0.5033 0.5009 0.4998 0.4999 0.5008 0.5025 0.5047 0.5072 0.5098 0.512 0.5136 0.5147 1.611 1.645 1.681 1.7185 1.7572 1.7967 1.8368 1.8769 1.9168 1.9563 1.9951 2.0329 2.0694 2.1044 2.1379 2.1697 2.1999 2.2284 2.2553 2.2805 2.3043 2.327 2.3489 2.3703 2.3914 2.4124 2.4333 2.4542 2.4756 2.4975 2.52 2.5429 2.5661 2.5893 2.6121 2.6341 2.6545 2.6727 2.6883 2.701 2.7111 1.3887 1.4101 1.4346 1.4622 1.4928 1.5261 1.5619 1.5999 1.6401 1.6824 1.7267 1.7729 1.8209 1.8706 1.9218 1.9745 2.0284 2.0834 2.1394 2.1961 2.2531 2.3098 2.3654 2.4188 2.4688 2.5142 2.5539 2.5876 2.6151 2.0889 2.1095 2.1298 2.15 2.1699 2.1899 2.21 2.2306 2.2518 2.2735 2.2957 2.3185 2.3419 0.4156 0.4119 0.4083 0.4049 0.4024 0.4014 0.4021 0.4045 0.4083 0.4132 0.4188 0.4249 0.4311 0.4371 0.4424 0.4469 0.4504 0.4527 0.4537 0.4534 0.4519 0.4493 0.4459 0.442 0.438 0.4341 0.4305 0.4274 0.4246 0.422 0.42 0.4186 0.418 0.4185 0.4197 0.4215 0.4232 0.4246 0.4253 0.4256 0.4256 1.321 1.3436 1.3699 1.3995 1.4317 1.4659 1.5016 1.5387 1.5774 1.6178 1.6601 1.7044 1.7506 1.799 1.8495 1.9024 1.9576 2.015 2.0745 2.1354 2.1974 2.2595 2.3208 2.3801 2.436 2.4869 2.5314 2.5684 2.5975 0.2266 0.234 0.2391 0.2413 0.2403 0.2361 0.2291 0.2197 0.2082 0.1953 0.1814 0.1672 0.1533 0.1405 0.1293 0.1204 0.114 0.11 0.1081 0.1079 0.1087 0.1098 0.1103 0.1095 0.1074 0.1043 0.1009 0.0978 0.0954 0.0936 0.0924 0.0915 0.0907 0.0899 0.0893 0.0888 0.17 0.1902 0.2106 0.2299 0.2467 0.26 0.2693 0.2741 0.2741 0.2694 0.2604 0.2475 0.2314 0.2124 0.1914 0.1692 0.1467 0.1249 0.1044 0.0862 0.0705 0.0579 0.0485 0.042 0.0381 0.0362 0.0356 0.0354 0.0352 0.0347 0.0343 0.0343 0.0349 0.0359 0.0371 0.0381 0.0388 0.039 0.0387 0.0381 0.0373 1.4149 1.4229 1.4343 1.4502 1.4717 1.4994 1.5335 1.5734 1.6185 1.6681 1.7213 1.7776 1.8365 1.8975 1.9603 2.0243 2.0892 2.1548 2.2208 2.2866 2.3518 2.4155 2.4771 2.5353 2.589 2.6371 2.6787 2.7133 2.741 2.7622 2.7781 2.7898 2.7985 2.805 2.8099 2.8134 2.8155 2.8166 2.8167 2.8162 2.8155 0.0552 0.0639 0.0741 0.0852 0.0963 0.1063 0.1142 0.1188 0.12 0.1175 0.1121 0.1046 0.0955 0.0856 0.0754 0.0655 0.0566 0.0493 0.0444 0.0421 0.043 0.0469 0.0539 0.0634 0.0743 0.0853 0.0948 0.1013 0.1038 0.1019 0.0959 0.0869 0.0762 0.0651 0.0548 0.0461 0.0393 0.0342 0.0306 0.0283 0.027 1.4737 1.4775 1.4837 1.4941 1.5107 1.5349 1.5673 1.6075 1.6546 1.7074 1.7647 1.8256 1.8892 1.9547 2.0215 2.0892 2.1571 2.2246 2.2912 2.3564 2.4199 2.4813 2.5399 2.5948 2.6451 2.69 2.7289 2.7617 2.7886 2.8103 2.8275 2.8413 2.8527 2.8621 2.8697 2.8755 2.8794 2.8816 2.8825 2.8875 2.8822 0.0333 0.0337 0.0354 0.0385 0.0428 0.0478 0.053 0.0574 0.0603 0.0612 0.0601 0.057 0.0528 0.0482 0.0439 0.0406 0.0388 0.0391 0.0418 0.0474 0.0558 0.0671 0.0811 0.0968 0.1132 0.1286 0.1415 0.1501 0.1534 0.1508 2.3661 0.793 2.6369 2.6188 2.6541 0.1427 2.4514 2.4746 2.4974 2.5194 2.5407 2.561 2.391 2.4163 2.4417 2.4667 2.4909 2.5142 2.5364 2.5575 2.5775 2.5965 2.6143 0.7913 0.7908 0.7913 0.7929 0.7955 0.7989 0.8029 0.8069 0.8108 0.8142 0.8171 2.6677 2.6789 2.6882 2.696 2.7023 2.7068 2.7098 2.7114 2.7117 2.7114 2.6333 2.6422 2.6473 2.65 2.6514 2.6521 2.6524 2.6525 2.6523 2.6519 2.6515 0.1304 0.1153 0.0994 0.0843 0.0714 0.061 0.0535 0.0483 0.0451 0.0431 2.58 0.5153