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The excel data sheet is used to answer Assignment #1. I am having trouble understanding how to calculate jump height using the momentum impulse relationship

The excel data sheet is used to answer Assignment #1. I am having trouble understanding how to calculate jump height using the momentum impulse relationship and the jump height using flight time. Can you help me understand how you get the answers to the calculations?

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Document Related Documents Related Textboo Tidewater Community College . PED 107 . 10/14/2020 2 Pages . 2 Views GRF Vertical Jump 3000 2500 2000 1500 Force (N) 1000 500 Bodyweight -500 145 161 171 Bottom of Squat 193 2 3 19 5 A3'3 Toe Off Grid Time - Bodyweight - GRF 1. On your word document, write out the impulse-momentum and jump height calculations for a jump trial. AvgGRF = Average of vertical force frames 1-331 V / = [Average GRF *t)-(Bodyweight*t) = (1345.691*1.65)-(1134.8*1.65)/115.68 m = 3.017 m/s Height= = 3.017^2/(2*9.81) 29 = 0.464 meters 2. On your word document, write out the jump height calculations using flight time for the same jump trial. Flight time = Time Landed- Time off ground = 2.215-1.65 =0.565 sec Frames 443-331KIN 300 - Biomechanics of Human Movement Lab 5: Linear Kinetics Name Date Orientation: Most of our movements ultimately rely upon our interaction with the ground. We are constantly pushing against the ground both vertically and horizontally as we initiate and modify movements of the total body and body segments (i.e., performing a push up, or vertical jumping). Because of the importance of our interactions with the ground in the generation and modulation of our movements, the ground reaction force (GRF) could arguably be considered the most important external force acting on the body. What is important to keep in mind is that the GRF is largely under our control via coordinated muscle actions. By producing a certain combination of muscle actions, we ultimately push against the ground which pushes back against the body with an equal and opposite force. This is explained by Newton's 3rd law of motion which states that for every action there is an equal and opposite reaction. This experiment examines the difference in maximal countermovement jump height between using the force plate and using flight time. When using the Force Plate: According the impulse-momentum relationship, if the jumper initiates the upward phase of the jump from a resting state (v; = 0; either from a squat or bottom of a countermovement), the impulse generated by the athlete can be used to calculate the velocity of the center of mass (CM) at the instant of takeoff: Impulse = Momentum final - MomentumInitial ImpulseTotal - ImpulseBw = Impulsejump ImpulseTotal - Impulsesw = m(vf - vi) (Average GRF * t) - (Bodyweight * t) = m(vf - vi) of = (Average GRF * t) - (Bodyweight * t) m where m is the body mass, v; is the vertical velocity at the beginning of the upward movement, and vy is the vertical velocity at the instant of takeoff.This vertical takeoff velocity can then be used with the equations of uniformly accelerated motion (projectile motion) to calculate the height to which the COM was elevated during the jump. Sh Height = 2g where g is the acceleration due to gravity, v; is the vertical velocity vertical velocity at the instant of takeoff, vy is the vertical velocity at the apex of the flight, and Ay is the vertical displacement. When using Flight Time: The time at which a person is in the air (when ground reaction force is zero) can be used to determine jump height. Note that flight time consists of two halves: rising and falling. Therefore, your calculation must reflect 1/2 of the full time in the air: Height = vit + zgt2 Assignment #1 (5 points): Complete the following questions. The answers to questions need to be written in complete sentences. Copy and paste figures and math responses into the same word document as your written responses. Upload your lab document onto the Canvas site. All data needed for this assignment are provided on Canvas in excel format. 1. Create a figure of the vertical GRF versus time of the countermovement jump. Create a dotted horizontal line for bodyweight. Using a software such as Paint, label with the following: a line where body weight is, bottom of squat, and toe off. 2. On your word document, solve for jump height using the impulse-momentum relationship. Write out your calculations step by step. 3. On your word document, solve for jump height using flight time. Write out your calculations step by step. Flight time can be obtained from the excel spreadsheet. 4. Using the two heights you calculated in Questions 2 & 3 answer the following questions: a. Which method produced the largest jump height and how significant is the difference? b . What are some limitations for each method? Assignment #2: Filming your own jump (5 points) Equipment: Measuring Tape . Smart Phone AppAs force plates and expensive 3D motion capture equipment are not often available in clinical and commercial settings, we must learn to utilize other means of getting the information we want. Jump height can be observed through simple motion tracking applications as can time. Working backwards from what was done above, we can start with jump height and time to figure out how much force was generated to create the jump. Use the following steps to calculate the amount of force generated during your jumping activity. Upload this document and the jump video into Canvas. 1. Set up your camera to film perpendicular to your motion. 2. Film along a wall where you can make markings, put post-it notes (or some sort of indication of distance traveled), or attach a tape measure. 3. Make a mark on your body around your center of mass (COM). Use a sticker or pen to make the mark so you know where your COM is during your jump. 4. Film yourself jumping. Make sure you can see the feet so that you know the start and stop times of ground contact and the marker from step 3. Take note of the height of your COM while standing (before you start your counter movement). 5. Make a note of the time you reach the bottom of your squat. Make a note of the time of your toe-off event. Record your jump time in the table below (obtained from the video). 6. Go to the point of the video at maximum jump height. Make a note of the height of your COM at this time point. Record your total jump height in the table below. 7. Using your jump height (the difference between maximum height of your COM and starting height), find your take off velocity. Record in the table below. Provide your step by step equations to get your take off velocity. 8. Using your jump time (difference from the bottom of your squat to toe off), take off velocity, body weight and body mass, find your average ground reaction force (GRF). Provide your step by step equations to get your average GRF. Jump Height Jump time Take off Average GRF velocity 1 st Jump Deliverables: This lab sheet, all calculations, labeled graph, answers to questions for part 1, and video of jump from part 2.Forceplate Da SPME 430 Jumping Lab Frame# Time M/L A/P Vertical BodyWeight 272 1.36 -0.9421 -3.4345 600.08 600.4 273 1.365 -1.3884 -2.5145 600.6 600.4 This spreadsheet contains the ground reaction force data of a single subject 274 1.37 1.0054 -1.9436 501.2 600.4 performing a countermovement jump. The data begin with the person standing 275 1.375 0.50096 -1.4161 601.56 600.4 upright. The person then performs a countermovement jump, leaving the 276 1.38 -0.9256 -0.93983 601.49 600.4 forceplate when the forces equal zero. The data end at the moment the person 277 1.385 1.0529 0.44924 501.68 600.4 touches the ground after jumping in the air. 278 1.39 0.44369 -0.17027 602 600.4 279 1.395 0.64687 0.1202 601.9 600.4 280 1.4 -1.0702 0.48753 01.9 600.4 281 1.405 -0.73024 0.5696 602.31 600.4 282 1.41 -1.0128 .84926 602.29 600.4 283 1.415 -1.6422 1.1641 602.3 600.4 284 1.4 1.177 1.2164 502.1 600.4 285 1.425 0.98262 1.061 601.43 600.4 286 1.43 -1.4502 .94605 500.2 600.4 287 1.435 -1.718 1.0474 599.9 600.4 288 1.44 -1.1098 0.69096 599.31 600.4 289 1.445 1.2613 0.64053 598.98 600.4 290 1.45 -1.7724 0.39663 598.21 600.4 291 1.455 1.3648 0.024248 597.27 600.4 292 1.46 -1.2182 0.35224 596.32 600.4 293 1.465 1.7766 0.76623 595.7 600.4 294 1.4 1.6679 1.2186 595.0 600.4 295 1.475 1.2791 1.9262 594.4 600.4 296 1.48 -1.9058 2.3493 594.77 600.4 297 1.485 2.0883 2.6521 595.4 600.4 298 1.49 -1.341 2.9787 695.94 600.4 299 1.495 .1918 2.9584 597.0 600.4 300 1.5 -1.2695 2.7647 598.18 600.4 301 1.505 -0.60858 -2.6507 598.84 600.4 302 1.51 0.18438 -2.2628 599.06 600.4 303 1.515 0.33303 1.9439 597.71 600.4 304 1.52 0.19452 -1.955 594.8 600.4 305 1.525 0.68455 2.0233 592.17 600.4 306 1.53 0.20238 1.9763 589.11 600.4 307 1.535 0.019333 2.1767 584.97 600.4 308 1.54 0.26853 -2.7613 580.0 600.4 309 1.545 -0.2777 3.4171 574.9 600.4 310 1.5 -1.1621 3.9768 570.01 600.4 311 1.555 -1.577 4.5665 564 600.4 312 1.56 2.3568 4.6641 556.4 600.4 313 1.565 -4.0421 -3.7401 546.68 600.4 314 1.57 5.346 2.4675 534.7 600.4 315 1.575 6.5215 -1.4492 521.86 600.4 316 1.58 -7.9545 -0.68786 508.97 600.4 317 1.585 8.6098 0.49062 195.37 600.4 31 1.59 8.5906 1.2029 481.96 600.4 31 1.595 -9.0179 1.9638 169.9 600.4 320 1.6 9.4013 3.2271 457.74 600.4 321 1.605 8.8458 -5.1065 446.05 600.4 322 1.61 8.5415 7.0891 435.53 600.4 323 1.615 8.7815 8.5909 125.52 600.4 324 1.62 .1814 -9.5044 415.5 600.4 325 1.625 -7.3596 9.7089 404.42 600.4 326 1.63 -7.0037 8.7462 391.97 600.4 327 .635 6.0989 6.2583 379.47 600.4 328 1.64 4.3099 2.5646 367.7 600.4 329 ..645 2.766 2.2614 357.6 600.4 330 1.65 -1.5349 8.486 349.33 600.4 331 1.655 0.070497 15.10 342.13 600.4 332 1.66 1.2216 20.739 336.92 600.4 333 1.665 0.58531 24.484 332.0 600.4 334 1.6 0.30202 25.793 328.3 600.4 335 .675 0.5272 24.86 325.8 600.4 336 1.68 0.27596 22.554 324.6 600.4 337 .685 0.51921 19.036 323.98 600.4 338 1.6 1.9103 15.129 323.75 600.4 339 ..695 2.7184 1.38 325.6 600.4 340 1.7 2.8392 7.9407 330.53 600.4 341 1.705 2.9752 5.0536 338.4 600.4 342 1.71 2.6804 2.9047 347.8 600.4 343 ..715 1.3785 1.6911 359 600.4 344 1.72 .3226 1.2629 73.5 00. 345 .725 2.1917 1.9088 392.73 600.4 346 1.73 2.7015 2.9347 411.99 600.4 347 1.73 3.1063 2.6794 430.45 600.4 348 1.74 3.7957 0.67806 449.73 600.4 349 1.745 3.6669 1.6286 469.1 600. 350 1.75 2.9316 -4.462 486.17 600.4 351 1.755 2.7739 3.0235 500.24 600.4352 1.76 2.9644 -11.494 511.64 600.4 353 1.765 3.2366 -13.688 521.5 600.4 354 1.77 4.5282 -14.879 528.82 600. 355 1.775 5.865 -15.717 531.86 500.4 356 1.78 6.0121 -16.017 530.74 600.4 357 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