A 75 kg stunt man executes a standing jump with the aid of a harness and support wire

A 75 kg stunt man executes a standing jump with the aid of a harness and support wire. In addition to the constant 1100 N force his legs exert during the push-off phase, the wire has a lift mechanism that applies a force given by 550e^−s/L (in Newtons), where L is 0.4 m and s is the distance traveled. The lift mechanism is engaged at the bottom of the crouch (where s = 0) and a safety catch detaches the wire when the stuntman leaves the ground.

(a) For a crouch depth of 0.4 m, compute the maximal elevation of his center of gravity.

(b) If the safety catch fails to disengage, show that his center of gravity is elevated 0.462 m at the top of the jump.