Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

Particle $P$ is launched from point $O$ on a horizontal plane with speed $50\,\text{m s}^{-1}$ at an angle of $30^\circ$ above the horizontal.
(i)[5]

Calculate the speed of $P$ after it has been moving for $4\,\text{s}$, and calculate a second time at which $P$ has this speed.

(ii)[2]

Find the distance $OP$ after $P$ has been in motion for $4\,\text{s}$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Vertical resolution gives: $V\sin heta = 50\sin30 - 4g = -15$

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