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Analysis of Rocket Launch Data The project this quarter is to analyze data in an Excel CSV file showing the position as a function of

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Analysis of Rocket Launch Data The project this quarter is to analyze data in an Excel CSV file showing the position as a function of time for a rocket launched vertically upwards from the ground. Unfortunately, because of equipment problems, data is missing from 5.0 s to 7.0 s, 12.0 s to 14.0 s and 18.0 s and larger. It is known that acceleration is constant and pointing up while the rocket motor is burning and that acceleration is constant and pointing down immediately after the rocket motor stops and before the rocket hits the ground. The launch is done on an airless planet whose acceleration of gravity is unknow. The acceleration upward during the rocket launch is also unknown. The mass of the rocket is 1250 g. Any loss of rocker mass during the rocket burn is ignored. You have the option to do this entirely with Excel or with Logger Pro or with both. Either way, you will have to figure out how to replace the missing data. If you do this mostly with Excel, you will have to replace the missing data from y(t). One option is to use LP to see how to replace the missing data. At some point, you probably want to take the given CSV file and save it as an .xlsx file. Then you will have to compute vy(t) in Excel - this is easy to do by having Excel use y(t) to find vy(t) using average velocity. Since the time interval in the data is small, the average velocity is the instantaneous velocity to a good approximation. If you do this mostly with LP, you can import the CSV file with the missing data into LP using File/Import From/CSV. Again, you will have to replace the missing data. You might consider using Excel to compute the missing data using information from LP. After the y(t) data is completed, you will need to have LP compute vy(t). You can do this using Data/New Calculated Column, then use Functions/calculus/derivatively(t)) to have LP compute vy(t). t(s) 0.27 0.33 y(t) 0 0 0.01 0.0002 0.02 0.0008 0.03 0.0018 0.04 0.0032 0.05 0.005 0.06 0.0072 0.07 0.0098 0.08 0.0128 0.09 0.0162 0.1 0.02 0.11 0.0242 0.12 0.0288 0.13 0.0338 0.14 0.0392 0.15 0.045 0.16 0.0512 0.17 0.0578 0.18 0.0648 0.19 0.0722 0.2 0.08 0.21 0.0882 0.22 0.0968 0.23 0.1058 0.24 0.1152 0.25 0.125 0.26 0.1352 0.1458 0.28 0.1568 0.29 0.1682 0.3 0.18 0.31 0.1922 0.32 0.2048 0.2178 0.34 0.2312 0.35 0.245 0.36 0.2592 0.37 0.2738 0.38 0.2888 0.39 0.3042 0.4 0.32 0.41 0.3362 0.42 0.3528 0.43 0.3698 0.44 0.3872 0.45 0.405 0.46 0.4232 0.47 0.4418 0.48 0.4608 0.49 0.4802 0.5 0.5 0.51 0.5202 0.52 0.5408 0.53 0.5618 0.5832 0.55 0.605 0.56 0.6272 0.57 0.6498 0.58 0.6728 0.59 0.6962 0.6 0.61 0.7442 0.62 0.7688 0.63 0.7938 0.64 0.8192 0.65 0.845 0.66 0.8712 0.67 0.8978 0.68 0.9248 0.69 0.9522 0.7 0.98 0.71 0.72 1.0368 0.73 1.0658 0.74 1.0952 0.75 1.125 0.76 1.1552 0.77 1.1858 0.78 1.2168 0.79 1.2482 0.8 1.28 0.81 1.3122 0.82 1.3448 0.83 1.3778 0.54 0.72 1.0082 082 0.83 0.84 0.85 06 087 0.88 0.89 09 0.91 0.92 0.93 094 0.95 096 097 0.98 099 1 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.1 1.11 1.12 1.13 1.14 115 1.16 1.17 1.18 1.19 12 121 122 1.23 124 125 126 127 128 129 13 1.31 1.32 133 1.34 135 136 137 138 1.39 14 141 1.42 1.43 1.44 145 1.46 147 1.48 1.49 1.5 151 1.52 153 154 1.55 156 157 1.58 159 166 1.61 1.62 1.3448 1.3778 1.4112 1445 14792 1.5138 15488 15842 162 1.6562 1.6928 17298 1.7672 1.805 1.8432 1.818 19208 19602 2 2.0402 2.0808 2.1218 2.1632 2205 22472 22898 2.3328 23762 242 24642 2.5088 2.5538 2.5992 2645 26912 2.7378 2.7848 2.8322 288 2.9282 29768 3.0258 3.0752 3.125 3.1752 32258 32768 3.3282 3.38 3.4322 3.4848 3.5378 3.5912 3645 3.6992 3.7538 3.8088 3.8642 392 3.9762 4.0328 4.0898 4.1472 4205 42632 4.3218 4.3808 4.4402 45 4.5602 4.6208 4.6818 4.7432 4.805 4.672 4.9298 4.9928 5.0562 5.12 5.1842 5.2488 1.62 1.63 1.64 1.65 1.6 167 168 1.69 1.7 171 1.72 173 174 1.75 1.76 177 178 179 1.8 1.81 1.82 1.83 1.84 1.85 1.86 1.87 1.88 1.89 1.9 191 192 1.93 194 1.95 196 197 198 199 2 201 2.02 2.03 204 205 2.06 2007 2008 209 21 5.2488 5.3138 5.3792 5.445 5.5112 5.5778 5.6448 5.7122 5.78 5.8482 59168 5.9858 6.0552 6.125 6.1952 62658 6.3368 6.4082 6.48 6.5522 6.6248 6.6978 6.7712 6.845 6.9192 6.9938 7.0688 7.1442 722 72962 7.3728 7.4498 7.5272 7.605 7.6832 77618 7.8408 7.9202 8 8.0802 8.1608 82418 8.3232 8.405 8.4872 8.5698 8.6528 88.7362 8.82 18.9042 8.988 9.0738 9.1592 19245 9.3312 9.4178 9.5048 9.5922 9688 9.7682 98568 9.9458 10.0352 10.125 102152 10.3058 10.3968 10.4882 10.58 10.6722 10.7648 10.8578 10.9512 11.045 11.1392 112338 11.3288 11.4242 11.52 11.6162 11.7128 2.11 212 213 214 215 2.16 217 218 219 22 221 222 223 224 225 226 227 228 229 2.3 2.31 2.32 2.33 234 2.35 236 2.37 2.38 239 24 241 242 2.42 117128 243 118098 244 11.9072 245 12.005 26 12.1032 247 12 2018 248 12.3008 249 12.4002 25 125 2.51 12.6002 252 127008 253 128018 254 12.9032 255 13.005 256 13.1072 2.57 13.2098 258 13.3128 259 13.4162 26 13.52 261 13.6242 262 13.7288 2.63 13.8338 24 13.9392 2.65 14.045 26 14.1512 267 142578 2.68 14.3648 269 14.4722 27 14.58 271 14.6882 272 14.7968 273 14.9058 274 15.0152 275 15.125 276 152352 277 15.3458 2.78 15.4568 279 15.5682 28 15.68 281 15.7922 282 159048 283 16.0178 2.84 16.1312 285 16.245 26 16.3592 287 16.4738 288 6.5888 29 16.7042 29 16.82 291 16.9362 292 17.0528 293 17.1698 294 172872 295 17405 296 7.5232 297 176418 298 17.7608 299 17.8802 3 18 301 18.1202 302 18 2408 3.03 18.3618 3.04 18.4832 3.05 18.605 3.06 18.7272 307 18.8498 3.08 189728 3.09 190962 3.1 1922 3.11 193442 3.12 194688 3.13 195938 3.14 197192 3.15 19845 3.16 19.9712 3.17 20.0978 3.18 20 2248 3.19 20.3522 32 20.48 321 20.6082 3.22 20.7368 323 20.8658 324 20.9952 325 21.125 326 21.2552 3.27 21.3858 3.28 21.5168 329 21.6482 3.3 2178 3.31 21.9122 3.32 22.0448 3.33 22.1778 3.34 223112 3.35 22.445 3.36 22.5792 3.37 22.7138 3.38 22.8488 3.39 22.9842 3.4 23.12 3.41 23.2562 3.42 23.3928 3.43 23.5298 3.44 23.6672 3.45 23.805 3.46 23.9432 3.47 24.0818 3.48 24.2208 3.49 24.3602 35 24.5 3.51 24.6402 3.52 24.7808 3.53 24.9218 3.54 25.0632 3.55 25.205 3.56 25.3472 3.57 25.4898 358 25.6328 3.59 25.7762 36 25.92 3.61 26.0642 362 262088 3.63 26.3538 3.64 26.4992 3.65 26645 3.6 26.7912 3.67 26.9378 3.68 27.0848 3.69 272322 3.7 27.38 3.71 27.5282 3.72 27.6768 3.73 27.8258 374 27.9752 3.75 28.125 3.76 282752 3.77 28.4258 3.78 28.5768 3.79 28.7282 38 288 3.81 29.0322 29.1848 383 29.3378 3.84 29.4912 3.85 29.645 3.6 29.7992 3.87 29.9538 3.88 30.1088 389 30.2642 39 30.42 391 30.5762 3.92 30.7328 393 30.8898 3.94 31.0472 3.95 31.205 31.3632 397 31.5218 3.98 31.6808 3.99 31.8402 4 32 4.01 32.1602 4.02 32.3208 4.03 32.4818 382 3.96 4.03 4.04 4.05 4.06 4.07 4.08 4.09 4.1 411 4.12 4.13 4.14 4.15 4.16 4.17 4.18 4.19 4.2 4.21 422 4.23 4.24 425 4.26 427 428 4.29 4.3 4.31 4.32 4.33 4.34 4.35 4.36 4.37 4.38 4.39 4.4 441 4.42 4.43 4.44 4.45 4.46 4.47 4.48 4.49 45 4.51 452 4.53 4.54 4.55 4.56 4.57 32 4818 32.6432 32.805 329672 33.1298 33.2928 334562 33.62 33.7842 33.9488 34.1138 34.2792 34.445 34.6112 34.7778 34.9448 35.1122 35.28 35.4482 35.6168 35.7858 35.9552 36.125 36.2952 36.4658 36.6368 36.8082 36.98 37.1522 37.3248 37.4978 37.6712 37.845 38.0192 38 1938 38.3688 38.5442 38.72 38.8962 39.0728 39.2498 39.4272 39.605 39.7832 39.9618 40.1408 40.3202 40.5 40.6802 40 8608 41.0418 41.2232 41.405 41.5872 41.76988 41.9528 42.1362 42.32 42.5042 42.6888 42.8738 43.0592 43.245 43.4312 43.6178 43.8048 43.9922 44.18 44.3682 44.5568 44.7458 44.9352 45.125 45.3152 45.5058 45.6968 45 8882 46.08 46 2722 46.4648 46.6578 4.58 4.59 4.6 4.61 4.62 4.63 4.64 4.65 4.6 4.67 4.68 4.69 4.7 4.71 4.72 4.73 4.74 4.75 4.76 4.77 4.78 4.79 4.8 4.81 4.82 4.83 5.19 4.84 46.8512 4.85 47.045 4.86 47.2392 4.87 47.4338 4.88 47.6288 4.89 47.8242 4.9 48.02 4.91 48.2162 4.92 48.4128 4.93 48.6098 4.94 48.8072 4.95 49.005 4.96 49.2032 4.97 49.4018 4.98 49.6008 4.99 49.8002 5 0 5.01 0 5.02 0 5.03 0 5.04 0 5.05 0 5.06 0 5.07 0 5.08 0 5.09 0 5.1 0 5.11 0 5.12 0 5.13 0 5.14 0 5.15 0 5.16 0 5.17 0 5.18 0 0 5.2 0 5.21 0 5.22 0 5.23 0 5.24 0 5.25 0 5.26 0 5.27 0 5.28 0 0 5.3 0 5.31 0 5.32 0 5.33 0 5.34 0 5.35 0 5.36 0 5.37 0 5.38 0 5.39 0 5.4 0 5.41 0 5.42 0 0 5.44 0 5.45 0 5.46 0 5.47 0 5.48 0 5.49 0 5.5 0 5.51 0 5.52 0 5.53 0 5.54 0 5.55 0 5.56 0 5.57 0 5.58 0 5.59 0 5.6 0 5.61 0 5.62 0 5.63 0 5.64 0 5.29 5.43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.64 5.65 5.66 5.67 5.68 5.69 5.7 5.71 5.72 5.73 5.74 5.75 5.76 5.77 5.78 5.79 5.8 5.81 5.82 5.83 5.84 5.85 5.86 5.87 5.88 5.89 5.9 5.91 5.92 5.93 5.94 5.95 5.96 5.97 5.98 5.99 6 6.01 6.02 6.03 6.04 6.05 6.06 6.07 6.08 6.09 6.1 6.11 6.12 6.13 6.14 6.15 6.16 6.17 6.18 6.19 6.2 6.21 6.22 6.23 6.24 6.25 6.26 6.27 6.28 6.29 6.3 6.31 6.32 6.33 6.34 6.35 6.36 6.37 6.38 6.39 6.4 6.41 6.42 6.43 6.44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6.45 0 6.46 0 6.47 0 6.48 0 6.49 0 6.5 0 6.51 0 6.52 0 6.53 0 6.54 0 6.55 0 6.56 0 6.57 0 6.58 0 6.59 0 6.6 0 6.61 0 6.62 0 6.63 0 6.64 0 6.65 0 6.66 0 6.67 0 6.68 0 6.69 0 6.7 0 6.71 0 6.72 0 6.73 0 6.74 0 6.75 0 6.76 0 6.77 0 6.78 0 6.79 0 6.8 0 6.81 0 6.82 0 6.83 0 6.84 0 6.85 0 6.86 0 6.87 0 6.88 0 6.89 0 6.9 0 6.91 0 6.92 0 6.93 0 6.94 0 6.95 0 6.96 0 0 6.98 0 6.99 0 7 0 7.01 98.2802 7.02 98.5608 7.03 98.8418 7.04 99.1232 7.05 99.405 7.06 99.6872 7.07 99.9698 7.08 100.2528 7.09 100.5362 7.1 100.82 7.11 101.1042 7.12 101.3888 7.13 101.6738 7.14 101.9592 7.15 102.245 7.16 102.5312 7.17 102.8178 7.18 103.1048 7.19 103.3922 7.2 103.68 7.21 103.9682 7.22 104.2568 7.23 104.5458 7.24 104.8352 7.25 105.125 6.97 7.26 105.4152 7.27 105.7058 728 105.9968 7.29 106.2882 7.3 106.58 7.31 106.8722 7.32 107.1648 7.33 107.4578 7.34 107.7512 7.35 108.045 7.36 108.3392 7.37 108.6338 7.38 108.9288 7.39 109.2242 7.4 1109.52 7.41 1098162 7.42 110.1128 7.43 110.4098 7.44 110.7072 7.45 111.005 7.46 111.3032 7.47 111.6018 7.48 111.9008 7.49 112.2002 7.5 | 1125 7.51 112.8002 7.52 113.1008 7.53 113.4018 7.54 113.7032 7.55 114.005 7.56 114.3072 7.57 114.6098 7.588 114.9128 7.59 1152162 7.6 115.52 761 115.8242 762 116.1288 763 116.4338 7.64 116.7392 7.65 117.045 7.66 117.3512 767 117.6578 768 1179648 769 118.2722 7.7 118.58 7.71 118.8882 7.72 119.1968 7.73 119.5058 7.74 119.8152 7.75 120.125 7.76 120.4352 777 120.7458 7.78 121.0568 7.79 121.3682 7.8 121.68 781 121.9922 7.82 122.3048 7.83 122.6178 7.84 122.9312 7.85 123.245 7.86 123.5592 7.87 123.8738 7.8 124.1888 7.89 124.5042 7.9 124.82 791 125.1362 7.92 125.4528 7.93 125.7698 7.94 126.0872 7.95 126.405 7.9 126.7232 7.97 127.0418 7.98 127.3608 79 127 6802 8 128 8.01 128.3202 8.02 128.6408 8.03 128.9618 8.04 129.2832 8.05 129.605 8.06 129.9272 8.35 8.06 129.9272 8.07 130 2498 8.08 130.5728 8.09 130.8962 8.1 13122 8.11 1315442 8.12 131.8688 8.13 132.1938 8.14 132.5192 8.15 132.845 8.16 133.1712 8.17 133.4978 8.18 133.8248 8.19 134.1522 8.2 134.48 8.21 134.8082 8.22 135.1368 823 135.4658 8.24 135.7952 825 136.125 8.266 136.4552 8.27 136.7858 8.28 137.1168 8.29 137.4482 8.3 137.78 8.31 138.1122 8.32 138.4448 8.33 138.7778 8.34 139.1112 139.445 8.36 139.7792 8.37 140.1138 8.38 140.4488 8.39 140.7842 8.4 141.12 8.41 141.4562 8.42 141.7928 8.43 142.1298 8.44 142.4672 8.45 142.805 8.46 143.1432 8.47 143.4818 8.48 143.8208 8.49 144.1602 8.5 | 1445 8.51 144.8402 8.52 145.1808 8.53 145.5218 8.54 145.8632 8.55 146.205 8.56 146.5472 8.57 146.8898 8.588 1472328 8.59 147.5762 8.6 147.92 861 148.2642 862 148.6088 8.63 148.9538 864 1492992 865 149.645 8.66 149.9912 8.67 150.3378 868 150.6848 8.69 151.0322 8.7 151.38 8.71 151.7282 8.72 152.0768 8.73 152.4258 8.74 152.7752 8.75 153.125 8.76 153.4752 Analysis of Rocket Launch Data The project this quarter is to analyze data in an Excel CSV file showing the position as a function of time for a rocket launched vertically upwards from the ground. Unfortunately, because of equipment problems, data is missing from 5.0 s to 7.0 s, 12.0 s to 14.0 s and 18.0 s and larger. It is known that acceleration is constant and pointing up while the rocket motor is burning and that acceleration is constant and pointing down immediately after the rocket motor stops and before the rocket hits the ground. The launch is done on an airless planet whose acceleration of gravity is unknow. The acceleration upward during the rocket launch is also unknown. The mass of the rocket is 1250 g. Any loss of rocker mass during the rocket burn is ignored. You have the option to do this entirely with Excel or with Logger Pro or with both. Either way, you will have to figure out how to replace the missing data. If you do this mostly with Excel, you will have to replace the missing data from y(t). One option is to use LP to see how to replace the missing data. At some point, you probably want to take the given CSV file and save it as an .xlsx file. Then you will have to compute vy(t) in Excel - this is easy to do by having Excel use y(t) to find vy(t) using average velocity. Since the time interval in the data is small, the average velocity is the instantaneous velocity to a good approximation. If you do this mostly with LP, you can import the CSV file with the missing data into LP using File/Import From/CSV. Again, you will have to replace the missing data. You might consider using Excel to compute the missing data using information from LP. After the y(t) data is completed, you will need to have LP compute vy(t). You can do this using Data/New Calculated Column, then use Functions/calculus/derivatively(t)) to have LP compute vy(t). t(s) 0.27 0.33 y(t) 0 0 0.01 0.0002 0.02 0.0008 0.03 0.0018 0.04 0.0032 0.05 0.005 0.06 0.0072 0.07 0.0098 0.08 0.0128 0.09 0.0162 0.1 0.02 0.11 0.0242 0.12 0.0288 0.13 0.0338 0.14 0.0392 0.15 0.045 0.16 0.0512 0.17 0.0578 0.18 0.0648 0.19 0.0722 0.2 0.08 0.21 0.0882 0.22 0.0968 0.23 0.1058 0.24 0.1152 0.25 0.125 0.26 0.1352 0.1458 0.28 0.1568 0.29 0.1682 0.3 0.18 0.31 0.1922 0.32 0.2048 0.2178 0.34 0.2312 0.35 0.245 0.36 0.2592 0.37 0.2738 0.38 0.2888 0.39 0.3042 0.4 0.32 0.41 0.3362 0.42 0.3528 0.43 0.3698 0.44 0.3872 0.45 0.405 0.46 0.4232 0.47 0.4418 0.48 0.4608 0.49 0.4802 0.5 0.5 0.51 0.5202 0.52 0.5408 0.53 0.5618 0.5832 0.55 0.605 0.56 0.6272 0.57 0.6498 0.58 0.6728 0.59 0.6962 0.6 0.61 0.7442 0.62 0.7688 0.63 0.7938 0.64 0.8192 0.65 0.845 0.66 0.8712 0.67 0.8978 0.68 0.9248 0.69 0.9522 0.7 0.98 0.71 0.72 1.0368 0.73 1.0658 0.74 1.0952 0.75 1.125 0.76 1.1552 0.77 1.1858 0.78 1.2168 0.79 1.2482 0.8 1.28 0.81 1.3122 0.82 1.3448 0.83 1.3778 0.54 0.72 1.0082 082 0.83 0.84 0.85 06 087 0.88 0.89 09 0.91 0.92 0.93 094 0.95 096 097 0.98 099 1 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.1 1.11 1.12 1.13 1.14 115 1.16 1.17 1.18 1.19 12 121 122 1.23 124 125 126 127 128 129 13 1.31 1.32 133 1.34 135 136 137 138 1.39 14 141 1.42 1.43 1.44 145 1.46 147 1.48 1.49 1.5 151 1.52 153 154 1.55 156 157 1.58 159 166 1.61 1.62 1.3448 1.3778 1.4112 1445 14792 1.5138 15488 15842 162 1.6562 1.6928 17298 1.7672 1.805 1.8432 1.818 19208 19602 2 2.0402 2.0808 2.1218 2.1632 2205 22472 22898 2.3328 23762 242 24642 2.5088 2.5538 2.5992 2645 26912 2.7378 2.7848 2.8322 288 2.9282 29768 3.0258 3.0752 3.125 3.1752 32258 32768 3.3282 3.38 3.4322 3.4848 3.5378 3.5912 3645 3.6992 3.7538 3.8088 3.8642 392 3.9762 4.0328 4.0898 4.1472 4205 42632 4.3218 4.3808 4.4402 45 4.5602 4.6208 4.6818 4.7432 4.805 4.672 4.9298 4.9928 5.0562 5.12 5.1842 5.2488 1.62 1.63 1.64 1.65 1.6 167 168 1.69 1.7 171 1.72 173 174 1.75 1.76 177 178 179 1.8 1.81 1.82 1.83 1.84 1.85 1.86 1.87 1.88 1.89 1.9 191 192 1.93 194 1.95 196 197 198 199 2 201 2.02 2.03 204 205 2.06 2007 2008 209 21 5.2488 5.3138 5.3792 5.445 5.5112 5.5778 5.6448 5.7122 5.78 5.8482 59168 5.9858 6.0552 6.125 6.1952 62658 6.3368 6.4082 6.48 6.5522 6.6248 6.6978 6.7712 6.845 6.9192 6.9938 7.0688 7.1442 722 72962 7.3728 7.4498 7.5272 7.605 7.6832 77618 7.8408 7.9202 8 8.0802 8.1608 82418 8.3232 8.405 8.4872 8.5698 8.6528 88.7362 8.82 18.9042 8.988 9.0738 9.1592 19245 9.3312 9.4178 9.5048 9.5922 9688 9.7682 98568 9.9458 10.0352 10.125 102152 10.3058 10.3968 10.4882 10.58 10.6722 10.7648 10.8578 10.9512 11.045 11.1392 112338 11.3288 11.4242 11.52 11.6162 11.7128 2.11 212 213 214 215 2.16 217 218 219 22 221 222 223 224 225 226 227 228 229 2.3 2.31 2.32 2.33 234 2.35 236 2.37 2.38 239 24 241 242 2.42 117128 243 118098 244 11.9072 245 12.005 26 12.1032 247 12 2018 248 12.3008 249 12.4002 25 125 2.51 12.6002 252 127008 253 128018 254 12.9032 255 13.005 256 13.1072 2.57 13.2098 258 13.3128 259 13.4162 26 13.52 261 13.6242 262 13.7288 2.63 13.8338 24 13.9392 2.65 14.045 26 14.1512 267 142578 2.68 14.3648 269 14.4722 27 14.58 271 14.6882 272 14.7968 273 14.9058 274 15.0152 275 15.125 276 152352 277 15.3458 2.78 15.4568 279 15.5682 28 15.68 281 15.7922 282 159048 283 16.0178 2.84 16.1312 285 16.245 26 16.3592 287 16.4738 288 6.5888 29 16.7042 29 16.82 291 16.9362 292 17.0528 293 17.1698 294 172872 295 17405 296 7.5232 297 176418 298 17.7608 299 17.8802 3 18 301 18.1202 302 18 2408 3.03 18.3618 3.04 18.4832 3.05 18.605 3.06 18.7272 307 18.8498 3.08 189728 3.09 190962 3.1 1922 3.11 193442 3.12 194688 3.13 195938 3.14 197192 3.15 19845 3.16 19.9712 3.17 20.0978 3.18 20 2248 3.19 20.3522 32 20.48 321 20.6082 3.22 20.7368 323 20.8658 324 20.9952 325 21.125 326 21.2552 3.27 21.3858 3.28 21.5168 329 21.6482 3.3 2178 3.31 21.9122 3.32 22.0448 3.33 22.1778 3.34 223112 3.35 22.445 3.36 22.5792 3.37 22.7138 3.38 22.8488 3.39 22.9842 3.4 23.12 3.41 23.2562 3.42 23.3928 3.43 23.5298 3.44 23.6672 3.45 23.805 3.46 23.9432 3.47 24.0818 3.48 24.2208 3.49 24.3602 35 24.5 3.51 24.6402 3.52 24.7808 3.53 24.9218 3.54 25.0632 3.55 25.205 3.56 25.3472 3.57 25.4898 358 25.6328 3.59 25.7762 36 25.92 3.61 26.0642 362 262088 3.63 26.3538 3.64 26.4992 3.65 26645 3.6 26.7912 3.67 26.9378 3.68 27.0848 3.69 272322 3.7 27.38 3.71 27.5282 3.72 27.6768 3.73 27.8258 374 27.9752 3.75 28.125 3.76 282752 3.77 28.4258 3.78 28.5768 3.79 28.7282 38 288 3.81 29.0322 29.1848 383 29.3378 3.84 29.4912 3.85 29.645 3.6 29.7992 3.87 29.9538 3.88 30.1088 389 30.2642 39 30.42 391 30.5762 3.92 30.7328 393 30.8898 3.94 31.0472 3.95 31.205 31.3632 397 31.5218 3.98 31.6808 3.99 31.8402 4 32 4.01 32.1602 4.02 32.3208 4.03 32.4818 382 3.96 4.03 4.04 4.05 4.06 4.07 4.08 4.09 4.1 411 4.12 4.13 4.14 4.15 4.16 4.17 4.18 4.19 4.2 4.21 422 4.23 4.24 425 4.26 427 428 4.29 4.3 4.31 4.32 4.33 4.34 4.35 4.36 4.37 4.38 4.39 4.4 441 4.42 4.43 4.44 4.45 4.46 4.47 4.48 4.49 45 4.51 452 4.53 4.54 4.55 4.56 4.57 32 4818 32.6432 32.805 329672 33.1298 33.2928 334562 33.62 33.7842 33.9488 34.1138 34.2792 34.445 34.6112 34.7778 34.9448 35.1122 35.28 35.4482 35.6168 35.7858 35.9552 36.125 36.2952 36.4658 36.6368 36.8082 36.98 37.1522 37.3248 37.4978 37.6712 37.845 38.0192 38 1938 38.3688 38.5442 38.72 38.8962 39.0728 39.2498 39.4272 39.605 39.7832 39.9618 40.1408 40.3202 40.5 40.6802 40 8608 41.0418 41.2232 41.405 41.5872 41.76988 41.9528 42.1362 42.32 42.5042 42.6888 42.8738 43.0592 43.245 43.4312 43.6178 43.8048 43.9922 44.18 44.3682 44.5568 44.7458 44.9352 45.125 45.3152 45.5058 45.6968 45 8882 46.08 46 2722 46.4648 46.6578 4.58 4.59 4.6 4.61 4.62 4.63 4.64 4.65 4.6 4.67 4.68 4.69 4.7 4.71 4.72 4.73 4.74 4.75 4.76 4.77 4.78 4.79 4.8 4.81 4.82 4.83 5.19 4.84 46.8512 4.85 47.045 4.86 47.2392 4.87 47.4338 4.88 47.6288 4.89 47.8242 4.9 48.02 4.91 48.2162 4.92 48.4128 4.93 48.6098 4.94 48.8072 4.95 49.005 4.96 49.2032 4.97 49.4018 4.98 49.6008 4.99 49.8002 5 0 5.01 0 5.02 0 5.03 0 5.04 0 5.05 0 5.06 0 5.07 0 5.08 0 5.09 0 5.1 0 5.11 0 5.12 0 5.13 0 5.14 0 5.15 0 5.16 0 5.17 0 5.18 0 0 5.2 0 5.21 0 5.22 0 5.23 0 5.24 0 5.25 0 5.26 0 5.27 0 5.28 0 0 5.3 0 5.31 0 5.32 0 5.33 0 5.34 0 5.35 0 5.36 0 5.37 0 5.38 0 5.39 0 5.4 0 5.41 0 5.42 0 0 5.44 0 5.45 0 5.46 0 5.47 0 5.48 0 5.49 0 5.5 0 5.51 0 5.52 0 5.53 0 5.54 0 5.55 0 5.56 0 5.57 0 5.58 0 5.59 0 5.6 0 5.61 0 5.62 0 5.63 0 5.64 0 5.29 5.43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5.64 5.65 5.66 5.67 5.68 5.69 5.7 5.71 5.72 5.73 5.74 5.75 5.76 5.77 5.78 5.79 5.8 5.81 5.82 5.83 5.84 5.85 5.86 5.87 5.88 5.89 5.9 5.91 5.92 5.93 5.94 5.95 5.96 5.97 5.98 5.99 6 6.01 6.02 6.03 6.04 6.05 6.06 6.07 6.08 6.09 6.1 6.11 6.12 6.13 6.14 6.15 6.16 6.17 6.18 6.19 6.2 6.21 6.22 6.23 6.24 6.25 6.26 6.27 6.28 6.29 6.3 6.31 6.32 6.33 6.34 6.35 6.36 6.37 6.38 6.39 6.4 6.41 6.42 6.43 6.44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6.45 0 6.46 0 6.47 0 6.48 0 6.49 0 6.5 0 6.51 0 6.52 0 6.53 0 6.54 0 6.55 0 6.56 0 6.57 0 6.58 0 6.59 0 6.6 0 6.61 0 6.62 0 6.63 0 6.64 0 6.65 0 6.66 0 6.67 0 6.68 0 6.69 0 6.7 0 6.71 0 6.72 0 6.73 0 6.74 0 6.75 0 6.76 0 6.77 0 6.78 0 6.79 0 6.8 0 6.81 0 6.82 0 6.83 0 6.84 0 6.85 0 6.86 0 6.87 0 6.88 0 6.89 0 6.9 0 6.91 0 6.92 0 6.93 0 6.94 0 6.95 0 6.96 0 0 6.98 0 6.99 0 7 0 7.01 98.2802 7.02 98.5608 7.03 98.8418 7.04 99.1232 7.05 99.405 7.06 99.6872 7.07 99.9698 7.08 100.2528 7.09 100.5362 7.1 100.82 7.11 101.1042 7.12 101.3888 7.13 101.6738 7.14 101.9592 7.15 102.245 7.16 102.5312 7.17 102.8178 7.18 103.1048 7.19 103.3922 7.2 103.68 7.21 103.9682 7.22 104.2568 7.23 104.5458 7.24 104.8352 7.25 105.125 6.97 7.26 105.4152 7.27 105.7058 728 105.9968 7.29 106.2882 7.3 106.58 7.31 106.8722 7.32 107.1648 7.33 107.4578 7.34 107.7512 7.35 108.045 7.36 108.3392 7.37 108.6338 7.38 108.9288 7.39 109.2242 7.4 1109.52 7.41 1098162 7.42 110.1128 7.43 110.4098 7.44 110.7072 7.45 111.005 7.46 111.3032 7.47 111.6018 7.48 111.9008 7.49 112.2002 7.5 | 1125 7.51 112.8002 7.52 113.1008 7.53 113.4018 7.54 113.7032 7.55 114.005 7.56 114.3072 7.57 114.6098 7.588 114.9128 7.59 1152162 7.6 115.52 761 115.8242 762 116.1288 763 116.4338 7.64 116.7392 7.65 117.045 7.66 117.3512 767 117.6578 768 1179648 769 118.2722 7.7 118.58 7.71 118.8882 7.72 119.1968 7.73 119.5058 7.74 119.8152 7.75 120.125 7.76 120.4352 777 120.7458 7.78 121.0568 7.79 121.3682 7.8 121.68 781 121.9922 7.82 122.3048 7.83 122.6178 7.84 122.9312 7.85 123.245 7.86 123.5592 7.87 123.8738 7.8 124.1888 7.89 124.5042 7.9 124.82 791 125.1362 7.92 125.4528 7.93 125.7698 7.94 126.0872 7.95 126.405 7.9 126.7232 7.97 127.0418 7.98 127.3608 79 127 6802 8 128 8.01 128.3202 8.02 128.6408 8.03 128.9618 8.04 129.2832 8.05 129.605 8.06 129.9272 8.35 8.06 129.9272 8.07 130 2498 8.08 130.5728 8.09 130.8962 8.1 13122 8.11 1315442 8.12 131.8688 8.13 132.1938 8.14 132.5192 8.15 132.845 8.16 133.1712 8.17 133.4978 8.18 133.8248 8.19 134.1522 8.2 134.48 8.21 134.8082 8.22 135.1368 823 135.4658 8.24 135.7952 825 136.125 8.266 136.4552 8.27 136.7858 8.28 137.1168 8.29 137.4482 8.3 137.78 8.31 138.1122 8.32 138.4448 8.33 138.7778 8.34 139.1112 139.445 8.36 139.7792 8.37 140.1138 8.38 140.4488 8.39 140.7842 8.4 141.12 8.41 141.4562 8.42 141.7928 8.43 142.1298 8.44 142.4672 8.45 142.805 8.46 143.1432 8.47 143.4818 8.48 143.8208 8.49 144.1602 8.5 | 1445 8.51 144.8402 8.52 145.1808 8.53 145.5218 8.54 145.8632 8.55 146.205 8.56 146.5472 8.57 146.8898 8.588 1472328 8.59 147.5762 8.6 147.92 861 148.2642 862 148.6088 8.63 148.9538 864 1492992 865 149.645 8.66 149.9912 8.67 150.3378 868 150.6848 8.69 151.0322 8.7 151.38 8.71 151.7282 8.72 152.0768 8.73 152.4258 8.74 152.7752 8.75 153.125 8.76 153.4752

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