A force platform is a tool used to analyze the performance of athletes measuring the vertical...

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Physics

A force platform is a tool used to analyze the performance ofathletes measuring the vertical force that the athlete exerts onthe ground as a function of time. Starting from rest, a 63.0 kgathlete jumps down onto the platform from a height of 0.690 m.While she is in contact with the platform during the time interval0 < t < 0.8 s, the force she exerts on it is described by thefunction below. F = (9 200 N/s)t - (11 500 N/s2)t2
Assume the positive y-axis points upward.
(a) What was the athlete's velocity when she reached theplatform?
b) What impulse did the athlete receive from the platform?
(c) What impulse did the athlete receive from gravity while incontact with the platform?
(d) With what velocity did she leave the platform?
(e) To what height did she jump upon leaving the platform?

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4.4 Ratings (711 Votes)

The force F by Newtons Second Law is F dPdt or The net force on an object is the time rate of change of the momentum of the object Over the eight tenths of a second she is on the platform F dPdt 9200Ns t 11500 Ns2 t2 so dP Fdt 9200Ns2 t 11500ns2 t2 Integrating wrt t on the boundaries of 0 s to 08s will give the impulse See Answer

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