Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A car with mass $860\,\text{kg}$ moves on a level straight road. The engine supplies power $P\,\text{W}$, while the resistive force opposing the motion is $R\,\text{N}$. At one point, the car has speed $4.5\,\text{m s}^{-1}$ and acceleration $4\,\text{m s}^{-2}$. At another point, its speed is $22.5\,\text{m s}^{-1}$ and its acceleration is $0.3\,\text{m s}^{-2}$.
(main)[6]

Find $P$ and $R$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $DF = \dfrac{P}{v}$; alternatively, apply Newton’s second law

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