The man A has a weight of 175 lb and jumps from rest h = 8 ft onto a platform P that has a weight of 60 lb. The platform is mounted on a spring, which has a stiffness k = 200 lb/ft. If the coefficient of restitution between the man and the platform is e = 0.6 and the man holds himself rigid during the motion, determine the required height h of the jump if the maximum compression of the spring becomes 2 ft.