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Calculate the velocity of $P$ when $x = 8$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A particle $P$ of mass $0.6\,\text{kg}$ is projected horizontally from point $O$ on a smooth horizontal surface with velocity $2\,\text{m s}^{-1}$. A horizontal force of magnitude $0.3x\,\text{N}$ acts on $P$ in the direction $OP$, where $x$ m gives the distance of $P$ from $O$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply Newton’s second law, taking $a=\frac{dv}{dx}$, to deduce $0.6\frac{dv}{dx}=0.3x$.” …
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