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?
