Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A car with mass $1250\,\text{kg}$ moves on a straight horizontal road while its engine delivers power at a steady rate of $P\,\text{W}$. The resistive force opposing the car’s motion remains constant and has magnitude $R\,\text{N}$. At a speed of $19\,\text{m s}^{-1}$, its acceleration is $0.6\,\text{m s}^{-2}$, and at a speed of $30\,\text{m s}^{-1}$, its acceleration is $0.16\,\text{m s}^{-2}$.
(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: Applying the driving force relation $DF = P/v$

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