Mathematics 9709 · AS & A Level · Energy, work and power

Energy, work and power — practice question

A car with mass $1200\,\text{kg}$ is moving on a straight horizontal road $AB$. A constant resisting force of size $500\,\text{N}$ acts on it. When the car goes through point $A$, its speed is $15\,\text{m s}^{-1}$ and its acceleration is $0.8\,\text{m s}^{-2}$. While it travels from $A$ to $B$, the car keeps working at this power. It takes $53$ seconds for the journey from $A$ to $B$, and the car’s speed at $B$ is $32\,\text{m s}^{-1}$.
(a)[3]

Determine the power of the car’s engine at point $A$.

(b)[3]

Show that the distance $AB$ works out as $1362.6\,\text{m}$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $P=Dv$ with $v=15$ to obtain $P=15D$.

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