(i)[4]
Given that $P$ is momentarily at rest when $x = 2.5$, determine the initial kinetic energy of $P$.
(ii)[2]
Determine the value of $x$ on the first occasion that the speed of $P$ is $2\,\text{m s}^{-1}$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A particle $P$ with mass $0.2\,\text{kg}$ is fired horizontally from a fixed point $O$ and travels in a straight line on a smooth horizontal surface. A force of magnitude $0.4x\,\text{N}$ acts on $P$ towards $O$, where $x\,\text{m}$ denotes the displacement of $P$ from $O$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “From Newton’s second law, obtain $0.2\frac{dv}{dx} = -0.4x$” …
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