(i)[1]
Find the power output of the car’s engine.
(ii)[3]
The car reaches a hill inclined at $1^\circ$ to the horizontal, while still moving at $15\ \text{m s}^{-1}$. It then starts to descend with reduced power and an acceleration of $0.12\ \text{m s}^{-2}$. If the resistance force is unchanged, find the new power of the car’s engine at the instant it begins to go downhill.
(iii)[4]
When the car is moving downhill at $20\,\text{m s}^{-1}$, the power is cut off and it slows gradually. Assuming the resistance force stays at $350\,\text{N}$, find the distance covered from the instant the power is cut off until the car’s speed drops to $18\,\text{m s}^{-1}$.