An airplane pilot fell 370 m after jumping from an aircraft without his parachute opening. He landed in a snow bank, creating a crater 1.1 m deep, but survived with only minor injuries. Assuming the pilot's mass was 88 kg and his speed at impact was 45 m/s, estimate:
(a) The work done by the snow in bringing him to rest;
(b) The average force exerted on him by the snow to stop him;
(c) The work done on him by air resistance as he fell. Model him as a particle.