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an elevator of mass m = 400 kg starts from rest and is lowered to the...

an elevator of mass m = 400 kg starts from rest and is lowered to the ground by a rope in three stages. During the first second, it accelerates at 3 m/s^2 downward, then continues at a constant speed for six seconds, then slows down to a rest at 1 m/s^2 for three seconds.

a) find the initial height of the elevator.

b) find the total work done by the elevator by the rope.

c) find the average power done by the rope over each of the three stages.

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