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

Kinematics of motion in a straight line — practice question

A particle $P$ travels along a straight line and passes through point $O$ with velocity $4.2\,\text{m s}^{-1}$. For time $t\,\text{s}$ after $P$ passes $O$, its acceleration $a\,\text{m s}^{-2}$ is $a = 0.6t - 2.7$.
(main)[7]

Find the distance $P$ covers between the times when it is at instantaneous rest.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Integrating the acceleration gives $v=0.3t^2-2.7t+c$

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