(a)[3]
Show that the car’s speed is $11.25\,\text{m s}^{-1}$.
(b)[3]
Using the fact that the power and the resistance force stay constant, determine the car’s initial acceleration on this part of the hill.
Mathematics 9709 · AS & A Level · Energy, work and power
Energy, work and power — practice question
A car with mass $1400\,\text{kg}$ moves at constant speed up a straight hill inclined at $\alpha$ to the horizontal, where $\sin \alpha = 0.1$. A constant resistive force of magnitude $600\,\text{N}$ acts on it. The engine power of the car is $22\,500\,\text{W}$.