A paratrooper pilot fell 360 m after jumping without his parachute opening. He landed in a snowbank, creating a crater 1.5 m deep, but survived with only minor injuries. Assume the pilot's mass was 80 kg and his terminal velocity was 50 m/s.
(a) Estimate the work done by the snow in bringing him to the rest.
(b) Estimate the average force exerted on him by the snow to stop him.
(c) Estimate the work done on him by the air resistance as he fell.