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

Kinematics of motion in a straight line — practice question

A cyclist moves on a straight road with constant acceleration. He goes through points $A$, $B$ and $C$. He takes $2$ seconds to cover each of the segments $AB$ and $BC$, and his speed at $B$ is $4.5\,\text{m s}^{-1}$. The length of $AB$ is $\frac{4}{5}$ of the length of $BC$.
(a)[5]

Find the cyclist's acceleration.

(b)[2]

Find the distance $AC$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply constant acceleration equations to produce expressions for distances such as $s_{AB}$ or $s_{BC}$ in terms of $a$

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