(a)
The car travels up a hill at a steady speed of $24\,\text{m s}^{-1}$ on a slope that makes an angle $\alpha$ to the horizontal, where $\sin \alpha = 0.12$. At this speed, the resistance to motion has magnitude $480\,\text{N}$.
(a(i))[1]
Find $k$.
(a(ii))[3]
Calculate the power output of the car’s engine.
(b)[3]
The car now travels at constant speed along a straight level road. If its engine is delivering $54\,\text{kW}$, determine the speed.