Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

Starting from point $O$ on horizontal ground, a particle $P$ is projected with speed $V\text{ m s}^{-1}$ at an angle of $60^\circ$ above the horizontal. $1.5\text{ s}$ after projection, $P$ is travelling at an angle of $45^\circ$ above the horizontal.
(i)[3]

Determine $V$.

(ii)[2]

Hence determine the horizontal and vertical displacements of $P$ from $O$ at the instant $1.5\text{ s}$ after projection.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Vertical component equals $v\sin60 - 1.5g$

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