Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$ with mass $0.2\,\text{kg}$ is released from rest and then moves vertically downwards. After $t\,\text{s}$ from release, $P$ has speed $v\,\text{m s}^{-1}$. A resisting force of magnitude $0.8v\,\text{N}$ acts on $P$.
(i)[2]

Show that $P$ has acceleration $(10 - 4v)\,\text{m s}^{-2}$.

(ii)[5]

Find the value of $v$ at $t = 0.6$.

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