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 from level ground with speed $u\\,\\text{m}\\,\\text{s}^{-1}$. $P$ attains a greatest height of $20\\,\\text{m}$ above the ground.
(a)[2]

Determine the value of $u$.

(b)[3]

Find the overall time for which $P$ remains at least $15\\,\\text{m}$ above the ground.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply kinematics to form an equation in $u$, for example $0 = u^2 - 2 \times 10 \times 20$.

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