(a)[1]
Find the value of $v$.
(b)[2]
Find the maximum height of $P$ above the ground.
Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line
Kinematics of motion in a straight line — practice question
From a point on the ground, particle $P$ is projected vertically upwards at speed $v\,\mathrm{m\,s^{-1}}$. It reaches its greatest height in $3\,\mathrm{s}$.
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This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Velocity has the correct value $v=30$ using $v=u+at$ (or an equivalent SUVAT equation) with $v=0$, $a=-g$, $t=3$” …
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