Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

From point $O$, particle $P$ is projected at an angle of $60^\circ$ above the horizontal ground. After $0.6\text{ s}$, the angle of elevation of $P$ from $O$ is $45^\circ$ (see diagram).
(i)[4]

Show that the speed of projection of $P$ is $8.20\text{ m s}^{-1}$, correct to $3$ significant figures.

(ii)[3]

Calculate the time after projection at which the direction of motion of $P$ is $45^\circ$ above the horizontal.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Determines $x = (v\cos 60)0.6$ and $y = (v\sin 60)0.6 - \frac{1}{2}g(0.6)^2$

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