(i(a))[2]
On a horizontal stretch of the road, the car travels at a constant speed of $42\,\text{m s}^{-1}$. Calculate, in kW, the power developed by the engine of the car.
(i(b))[3]
If this power is increased suddenly by $6\,\text{kW}$, determine the car’s instantaneous acceleration.
(ii)[4]
On a section of road inclined at $\theta^\circ$ to the horizontal, the car climbs the hill at a constant speed of $24\,\text{m s}^{-1}$, with the engine running at $80\,\text{kW}$. Find $\theta$.