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3. A 67 kg trampolinist leaves the trampoline in the vertical direction with a velocity of...

3. A 67 kg trampolinist leaves the trampoline in the vertical direction with a velocity of 7 m/s. a) What is the athlete’s maximum kinetic energy? _________________

b) What is the athlete’s maximum potential gravitational energy? _________________

c) Plot (on the same graph) the athlete’s potential and kinetic energy versus time for the entire duration that the athlete is in the air. On the plot, label the following phases on the graph: take-off, top of jump, and landing. Also label the maximum kinetic and potential energy calculated in part a) and b)

d) What is the maximum height of the jump? __________________________

e) If the trampoline has a stiffness of 10,000N/m, how much does the trampoline deform when the athlete lands?

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