Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A particle $P$ is launched with speed $30\,\text{m s}^{-1}$ at an angle of $60^\circ$ above the horizontal from a point $O$ on level ground. At the instant when the speed of $P$ is $17\,\text{m s}^{-1}$ and increasing,
(i)[2]

Show that the vertical component of the velocity of $P$ is $8\,\text{m s}^{-1}$ downward.

(ii)[5]

Calculate the distance of $P$ from $O$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Start from $v^2 = 17^2 - (30 \cos 60)^2$.

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