(i)[4]
Show that the launch speed 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.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A particle $P$ is fired from point $O$ at $60^{\circ}$ to the horizontal ground. After $0.6\,\text{s}$, the angle of elevation of $P$ from $O$ is $45^{\circ}$ (see diagram).
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “At $t=0.6$, determine the coordinates: $x = (v\cos 60)0.6$, $y = (v\sin 60)0.6 - \frac{1}{2}g(0.6)^2$” …
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