Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A particle is launched from point $O$ on horizontal ground with speed $V\,\text{m s}^{-1}$ and is projected at an angle of $60^\circ$ above the horizontal. At the moment $3\,\text{s}$ after projection, the direction of motion of the particle is $30^\circ$ below the horizontal.
(i)[3]

Find $V$.

(ii)[3]

Calculate the distance of the particle from $O$ at the instant $3\,\text{s}$ after projection.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Vertical component of velocity $= \pm (V\sin 60 - 3g)$ from $v = u + at$

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