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

Kinematics of motion in a straight line — practice question

A particle $P$ leaves a fixed point $O$ at $t = 0$, where $t$ is measured in seconds, and travels in a straight line with constant acceleration. Its initial velocity is $1.5\,\text{m s}^{-1}$ and its velocity at $t = 10$ is $3.5\,\text{m s}^{-1}$.
(i)[2]

Find the displacement of $P$ from $O$ when $t = 10$.

(ii)[5]

Given that $Q$ has the same velocity as $P$ when $t = 10$, show that it also has the same displacement from $O$ as $P$ when $t = 10$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: For applying $(u+v)/2 = s/t$

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