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

Kinematics of motion in a straight line — practice question

The diagram presents the displacement-time graph for a particle’s motion. It begins from rest at point O and moves with constant acceleration of $a\text{ m s}^{-2}$, taking $4\text{ s}$ to cover a distance of $x\text{ m}$. It then goes back to O at constant speed of $40\text{ m s}^{-1}$, which lasts $2\text{ s}$.
(main)[3]

Find the value of $x$ and the value of $a$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Any correct method for determining $x$, $a$, or for writing an equation that connects $x$ and $a$

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