(a(i))[2]
The car and caravan are travelling along a straight horizontal road at a constant speed of $24\,\text{m s}^{-1}$. Determine the power of the car’s engine.
(a(ii))[5]
The engine power is increased abruptly to $40\,\text{kW}$. Determine the instantaneous acceleration of the car and caravan, and determine the tension in the tow-bar.
(b)[3]
The car and caravan now move up a straight hill inclined at an angle $\sin^{-1}(0.14)$ to the horizontal, at a constant speed of $v\ \text{m s}^{-1}$. The car’s engine is operating at $31\ \text{kW}$. The resistive forces acting on the car and caravan are unchanged. Determine $v$.