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

Kinematics of motion in a straight line — practice question

Particle $P$ is projected straight upwards with speed $11\,\text{m s}^{-1}$ from a point on level ground. At the same moment, particle $Q$ is let go from rest at a point $h$ m above the ground. $P$ and $Q$ reach the ground together, and when this happens $Q$ has speed $V\,\text{m s}^{-1}$.
(i)[2]

Find the time after projection when $P$ hits the ground.

(ii)[2]

Hence determine the values of $h$ and $V$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use $v = u - gt$ (or an equivalent relation) to determine the time taken, e.g. $-11 = 11 - 10t$

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