(i)[3]
The stretch $AB$ is straight and level. Over this section, the lorry’s engine power stays constant at $144\,\text{kW}$. At $A$, the lorry has speed $16\,\text{m s}^{-1}$, while at $B$ its acceleration is $0.096\,\text{m s}^{-2}$. Find the acceleration of the lorry at $A$ and show that its speed at $B$ is $24\,\text{m s}^{-1}$.
(ii)[5]
The section $BC$ is $500\,\text{m}$ long, straight and slopes upwards towards $C$. On this part of the road, the lorry’s driving force is constant at $5800\,\text{N}$. The lorry’s speed at $C$ is $16\,\text{m s}^{-1}$. Find the height of $C$ above the level of $AB$.