(a(i))[2]
On a horizontal stretch of the road, the car moves at a constant speed of $30\,\text{m s}^{-1}$ and a constant force of $650\,\text{N}$ opposes the motion. Calculate, in $\text{kW}$, the power developed by the engine of the car.
(a(ii))[3]
If this power is increased suddenly by $9\,\text{kW}$, determine the car’s instantaneous acceleration.
(b)[4]
On a section of road inclined at $\sin^{-1} 0.08$ to the horizontal, the resistive force on the car is $(1000 + 20v)\,\text{N}$ when the car’s speed is $v\,\text{m s}^{-1}$. The car moves down this section of road at constant speed while the engine operates at $11.5\,\text{kW}$. Find this constant speed.