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

Kinematics of motion in a straight line — practice question

An object is let go from rest from a height of $125\text{ m}$ above level ground and descends freely under gravity, where it strikes a moving target $P$. The target $P$ travels along the ground in a straight line with constant acceleration $0.8\text{ m s}^{-2}$. At the moment the object is released, $P$ goes through a point $O$ with speed $5\text{ m s}^{-1}$.
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Determine the distance from $O$ to the place where $P$ is struck by the object.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: From $h = \tfrac{1}{2}gt^2$, we get $125 = \tfrac{1}{2} \times 10 \times t^2$

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