(i)[4]
Show that $v = \frac{8}{1 + 4t}$.
(ii)[4]
Calculate the distance $OP$ at $t = 1.5$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ with mass $0.4\text{ kg}$ is launched horizontally at speed $8\text{ m s}^{-1}$ from point $O$ on a smooth horizontal plane. Its motion is resisted by a force of magnitude $0.2v^2\text{ N}$, where $v\text{ m s}^{-1}$ represents the speed of $P$ at time $t$ s after projection.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Uses Newton’s second law with $a=\delta v/\delta t$: $0.48v\,\delta t=0.2v^2$” …
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