Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

A particle $P$ is launched vertically upwards at a speed of $5\,\text{m s}^{-1}$ from a point $A$, which lies $2.8\,\text{m}$ above the horizontal ground.
(a)[3]

Find the greatest height above the ground reached by $P$.

(b)[4]

Find the time for which $P$ is at a height of more than $3.6\,\text{m}$ above the ground.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: From $v^2 = u^2 + 2as$, giving $0 = 5^2 - 2gs$

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