Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$ with mass $0.6\text{ kg}$ is let go from rest at a point above ground level and moves vertically downward. Its motion is resisted by a force of magnitude $3v\text{ N}$, where $v\text{ m s}^{-1}$ denotes the speed of $P$. Just before $P$ arrives at the ground, $v = 1.95$.
(i)[5]

Calculate the time taken after release for $P$ to reach the ground.

(ii)[3]

Calculate the distance travelled by $P$ after projection before it comes to rest.

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