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

Kinematics of motion in a straight line — practice question

A car moves on a straight road with constant acceleration $a\,\text{m s}^{-2}$. It goes past points $A$, $B$ and $C$; the journey time from $A$ to $B$ is $5\,\text{s}$, and the journey time from $B$ to $C$ is also $5\,\text{s}$. The speed of the car at $A$ is $u\,\text{m s}^{-1}$, while the distances $AB$ and $BC$ are $55\,\text{m}$ and $65\,\text{m}$ respectively.
(main)[6]

Determine the values of $a$ and $u$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Employ $s = ut + \frac{1}{2}at^2$ for $AB$ or $AC$

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