A mass of 100 kg is uniformly accelerated upwards on a light cable by a hoist for a period of 5 s to a speed of 1.75 m^-1. The hoist has a winding drum of mass 220 kg, diameter 1 m, and radius of gyration 300 mm. Calculate (a) the vertical height raised, (b) the final angular velocity of the drum, (c) the work done, (d) the input torque to the driving motor, (e) the average power developed.