(a(i))[2]
The car and caravan travel on a level section of road at a steady speed of $30\,\text{m s}^{-1}$. Calculate, in kW, the power produced by the car’s engine.
(a(ii))[4]
Given that this power is suddenly reduced by $8\,\text{kW}$, determine the instantaneous deceleration of the car and caravan and the tension in the tow-bar.
(b(i))[3]
The car and caravan now move along a stretch of road inclined at $\sin^{-1} 0.06$ to the horizontal. They travel uphill at constant speed while the car’s engine works at $28\,\text{kW}$. Find the constant speed.
(b(ii))[2]
Find the increase in the caravan’s potential energy in one minute.