Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A car moves on a straight road with constant acceleration. It goes past points $P$, $Q$, $R$ and $S$. The time taken to move from $P$ to $Q$, from $Q$ to $R$ and from $R$ to $S$ is $10\,\text{s}$ for each section. The distance $QR$ is $1.5$ times $PQ$. At $Q$, the car's speed is $20\,\text{m}\,\text{s}^{-1}$.
(i)[3]

Show that the car's acceleration is $0.8\,\text{m}\,\text{s}^{-2}$.

(ii)[3]

Find the distance $QS$ and hence find the car's average speed between $Q$ and $S$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies a SUVAT equation such as $s=ut-\tfrac12at^2$ or $s=ut+\tfrac12at^2$

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