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

Kinematics of motion in a straight line — practice question

Alan begins moving from point $O$ at a steady speed of $4\,\text{m s}^{-1}$, travelling along a horizontal path. Ben travels on the same path and also sets off from $O$. Ben remains at rest for $5\,\text{s}$ after Alan begins, then accelerates at $1.2\,\text{m s}^{-2}$ for $5\,\text{s}$. After that, Ben keeps moving at a constant speed until he reaches the same point, $P$, as Alan.
(i)[2]

Find the distance Ben has travelled after walking for $5\,\text{s}$, and find his speed at this moment.

(ii)[3]

Find the length of $OP$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Ben’s distance travelled $s_B = \tfrac12 \times 1.2 \times 5^2 = 15\text{ m}$

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