The man A has weight { W }_{ A } and jumps from rest from a height h onto a platform P that has weight { W }_{ P } . The platform is mounted on a spring, which has stiffness k. Determine (a) the velocities of A and P just after impact and (b) the maximum compression imparted to the spring by the impact. Assume the coefficient of restitution between the man and the platform is e, and the man holds himself rigid during the motion. Given: { W }_{ A } = 175 lb , { W }_{ P } = 60 lb , k = 200 lb/ft , h = 8 ft , e = 0.6 , g = { 32.2ft/s }^{ 2 }