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

Kinematics of motion in a straight line — practice question

Particle $P$ is fired vertically upwards from a point $3\,\text{m}$ above level ground, with initial speed $25\,\text{m s}^{-1}$.
(i)[2]

Determine the time for $P$ to attain its maximum height.

(ii)[3]

Determine how long $P$ stays above $23\,\text{m}$ from the ground.

(iii)[2]

The particle is above $h\,\text{m}$ from the ground for $1$ second. Determine $h$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $v=u+at$ with $u=25$, $v=0$ and $a=-g$, so that $0=25-10t$

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