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Find the velocity of $P$ at the instant $t = 2$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ with mass $0.2\,\text{kg}$ is let go from rest at a point $O$ on a smooth horizontal plane. A horizontal force of magnitude $te^{-v}\,\text{N}$ acting away from $O$ acts on $P$, where $v\,\text{m}\,\text{s}^{-1}$ denotes the velocity of $P$ at time $t$ s after release.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies Newton’s Second Law to form the differential equation $0.2\,\frac{dv}{dt}=te^{-v}$ (allow $a$ for $\frac{dv}{dt}$).” …
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