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Calculate the velocity of $P$ at $t = 1.2$.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
A particle $P$ travels along a straight line, crossing point $O$ on the line with velocity $2\,\text{m s}^{-1}$. After $t$ s has elapsed since passing through $O$, the velocity of $P$ is $v\,\text{m s}^{-1}$ and the acceleration of $P$ is $e^{-0.5v}\,\text{m s}^{-2}$. Calculate the velocity of $P$ when $t = 1.2$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Starts by separating the variables and then tries to integrate $\frac{dv}{dt} = e^{-0.5v}$, i.e. $\int e^{-0.5v}\,dv = \int dt$” …
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