(a)[4]
A constant resistive force acts against the motion. The car engine is producing $24\,\text{kW}$ while the car moves at a steady $32\,\text{m s}^{-1}$. The power is then raised to $28\,\text{kW}$. Determine the car’s acceleration at the moment when its speed is $36\,\text{m s}^{-1}$.
(b)[3]
Instead, the resistance to the motion of the car is $(340 + 4v)\,\text{N}$ when the car moves with speed $v\,\text{m s}^{-1}$. With the engine operating at $20\,\text{kW}$, the car travels at constant speed. Determine this constant speed.