When you stand on a trampoline, the surface depresses below equilibrium, and the surface pushes up on you, as the data for a real trampoline in Figure P10.48 show. The linear variation of the force as a function of distance means that we can model the restoring force as that of a spring. A 72 kg gymnast jumps on the trampoline. At the lowest point of his motion, he is 0.80 m below equilibrium. If we assume that all of the energy stored in the trampoline goes into his motion, how high above this lowest point will he rise?

Restoring force (N) 1600 800 0 0 0.25 0.50 Distance below equilibrium (m) FIGURE P10.48