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

Kinematics of motion in a straight line — practice question

A particle $P$ travels along the straight line $ABCD$ with constant deceleration. Its velocities at $A$, $B$ and $C$ are $20\,\text{m s}^{-1}$, $12\,\text{m s}^{-1}$ and $6\,\text{m s}^{-1}$ respectively.
(i)[4]

Determine the ratio of distances $AB : BC$.

(ii)[3]

The particle is brought to rest at $D$. If $AD$ measures $80\,\text{m}$, calculate $BC$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $v^2 = u^2 + 2(-a)s$ to $AB$ and $BC$

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