A force platt is a tool used to analyze the performance of athletes measuring th

Question

A force platt is a tool used to analyze the performance of athletes measuring the vertical force that the athlete exerts on the ground as a function of time. Starting from rest, a 66.0-kg athlete jumps down onto the platform from a height nf 0.606 m. While she Is in contact with the platform during the time Interval o t 0.800 s, the fonce she exerts on It ls cribed by the function F 9 200t 11 50or2 where FIs In newtons and t s n seconds. What pulse di d th magnitude b) with what speed did she reach the platform? c) With what peed did he leave did she jump upon leaving the d) To what plattorm? eig

Explanation / Answer

a) Force varies in the time interval from 0 to .8 s. Find the area under the curve of force vs time

Impulse = Force x Time

(9200t - 11,500t^2) dt. Evaluated it from 0 to .8
= 981 N-s

b) v = sqrt(2*a*h) = sqrt(2*9.8*.606) = 3.446m/s

c) Impulse = Final Momentum - Initial Momentum
vf = (I + mv0)/m = 18.30 m/s

d) h = (18.30)^2 / 19.6 = 17. 08 m

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