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

Energy, work and power — practice question

A car with mass $1400\text{ kg}$ travels along a horizontal straight road. The resistive force opposing the car’s motion is constant at $800\text{ N}$, and the engine power stays constant at $P\text{ W}$. At the moment when the car’s speed is $18\text{ m s}^{-1}$, its acceleration is $0.5\text{ m s}^{-2}$. The car then goes on to another point where its speed is $25\text{ m s}^{-1}$.
(i)[3]

Find the numerical value of $P$.

(ii)[2]

Determine the car’s acceleration at this point.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use the relation $DF = P \div 18$

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