A lorry of mass 24,000 kg is travelling up a hill which is inclined at 3° to the horizontal. The power developed by the lorry’s engine is constant, and there is a constant resistance to motion of 3200 N.

1. When the speed of the lorry is 25 m s^-1, its acceleration is 0.2 m s^-2. Find the power developed by the lorry’s engine.
2. Find the steady speed at which the lorry moves up the hill if the power is 500 kW and the resistance remains 3200 N.