Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A ball is launched with velocity $25\,\text{m s}^{-1}$ at an angle of $70^{\circ}$ above the horizontal from a point $O$ on level ground. It then rebounds once on the ground at a point $P$ before coming to rest at a point $Q$. The distance $PQ$ is $17.1\,\text{m}$.
(i)[3]

Calculate the time taken by the ball to move from $O$ to $P$ and the distance $OP$.

(ii)[4]

Since the horizontal component of the ball's velocity does not alter at $P$, calculate the speed of the ball as it leaves $P$.

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