A car of mass 1800 kg is travelling along a straight horizontal road. The power of the car’s engine is constant. There is a constant resistance to motion of 650 N.

(a) Find the power of the car’s engine, given that the car’s acceleration is 0.5 m s^-2 when its speed is 20 m s^-1.

(b) Find the steady speed which the car can maintain with the engine working at this power.