Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A particle $P$ is launched from a point $O$ on horizontal ground with speed $30\,\text{m s}^{-1}$ at an angle of $60^\circ$ above the horizontal. 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 $P$ has magnitude $8\,\text{m s}^{-1}$ and is downwards.

(ii)[5]

Calculate how far $P$ is from $O$.

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