A 75 kg trampoline artist jumps vertically upward from the top of a platform with a speed of 5.0 m/s and eventually lands on a trampoline whose surface is located 3.0 m below. If the trampoline behaves like a spring of spring constant 52,000 N/m, how far will he depress it? (Hints: You may ignore friction. Make the height zero where he will stop at the bottom. You'll need to use the quadratic formula.)
