# UMass Amherst KIN 430 - problem-set1-2014fa (3 pages)

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## problem-set1-2014fa

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- Pages:
- 3
- School:
- University of Massachusetts Amherst
- Course:
- Kin 430 - Biomechanics

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KIN 430 Biomechanics Fall Semester 2014 Problem Set 1 15 points Due on Tuesday September 23 2014 in class To receive full credit you must hand the completed problem set directly to one of the course instructors do not slip it under a door or leave it in the front office In completing this problem set do all of your calculations on separate sheets of paper clearly indicating which calculations go with which problem Staple the separate sheets of paper to this problem set before you turn it in You must show your calculations to receive full credit even if you have the correct answers 1 7 pts The table below contains velocity time data for the center of mass of the human body in free fall Use numerical differentiation to calculate the missing acceleration data and use numerical integration to calculate the missing position data for all time frames Be sure to use the appropriate equations for the first and last data points when determining the accelerations you must calculate the accelerations don t just write in 9 81 For this assignment you must do all calculations by hand and you must show all of your work attach a separate sheet of paper to receive full credit time s position m velocity m s 0 050 2 200 0 331 0 100 0 822 0 150 1 312 0 200 1 803 0 250 2 293 0 300 2 784 0 350 3 274 acceleration m s2 2 8 0 pts On the follow pages are a series of kinematic time plots For each set of plots sketch in the two missing variables For example if you are given a velocity time graph create the position time graph using graphical integration and the acceleration time graph using graphical differentiation Remember when doing graphical integration the initial y axis value must be known If no initial value is provided use an initial value of zero on the y axis KIN 430 Problem Set 1 acceleration acceleration velocity velocity position position time time time time KIN 430 Problem Set 2 acceleration acceleration velocity velocity position position acceleration acceleration velocity velocity position position time time time time KIN 430 Problem Set 3 acceleration acceleration velocity velocity position position

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