(i(a))[2]
A constant resistance to motion is stated. The car’s engine is operating at $16\text{ kW}$ while the car moves at a steady speed of $40\text{ m s}^{-1}$. Determine the resistance to motion.
(i(b))[3]
The power is then raised to $22.5\text{ kW}$. Determine the car’s acceleration at the moment it is moving at $45\text{ m s}^{-1}$.
(ii)[3]
It is now stated that the resistance to motion of the car is $(590 + 2v)\text{ N}$ when the car’s speed is $v\text{ m s}^{-1}$. The car moves at a constant speed while the engine works at $16\text{ kW}$. Find this speed.