A car of mass 1250 kg is moving on a straight road.

(a) On a horizontal section of the road, the car has a constant speed of 32 m s^-1 and there is a constant force of 750 N resisting the motion.

1. Calculate, in kW, the power developed by the engine of the car. [2]
2. Given that this power is suddenly decreased by 8 kW, find the instantaneous deceleration of the car. [3]

(b) On a section of the road inclined at sin^-1 0.096 to the horizontal, the resistance to the motion of the car is (1000 + 8v) N when the speed of the car is v m s^-1. The car travels up this section of the road at constant speed with the engine working at 60 kW.

Find this constant speed. [5]