A car of mass 1300 kg is moving on a straight road.

(a) On a horizontal section of the road, the car has a constant speed of 30 m/s and there is a constant force of 650 N resisting the motion.

1. Calculate, in kW, the power developed by the engine of the car.
2. Given that this power is suddenly increased by 9 kW, find the instantaneous acceleration of the car.

(b) On a section of the road inclined at \(\sin^{-1} 0.08\) to the horizontal, the resistance to the motion of the car is \((1000 + 20v)\) N when the speed of the car is \(v \text{ m/s}\). The car travels downwards along this section of the road at constant speed with the engine working at 11.5 kW.

Find this constant speed.