Mathematics 9709 · AS & A Level · Probability

Probability — practice question

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

Calculate the time elapsed after release before $P$ reaches the ground.

(ii)[3]

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

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: From Newton’s Second Law: $0.6\,\frac{dv}{dt} = 0.6g - 3v$

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