Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A car has mass $800\,\text{kg}$. Its engine supplies constant power $P\,\text{kW}$ as the car travels along a straight horizontal road. The resistive force opposing the motion is constant and equal to $R\,\text{N}$. At a speed of $14\,\text{m s}^{-1}$, the car’s acceleration is $1.4\,\text{m s}^{-2}$, and at a speed of $25\,\text{m s}^{-1}$, the acceleration is $0.33\,\text{m s}^{-2}$.
(main)[6]

Determine the values of $P$ and $R$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Adopt drag force $=P/v$

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