A car of mass 1800 kg travels along a straight horizontal road. The engine works at constant power and the resistance to motion is constant at 650 N.

(a) Find the engine power, given that the acceleration is \(0.5\text{ m s}^{-2}\) when the speed is \(20\text{ m s}^{-1}\). [3]

(b) Find the steady speed the car can maintain with the engine working at this power. [2]