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

Kinematics of motion in a straight line — practice question

The displacement of a particle after it has left a fixed point $O$ at time $t$ is $s$ m. The diagram presents a displacement-time graph that represents the particle's motion. The graph is made up of $4$ straight line segments. In the first $10$ s, the particle covers $50$ m, then it moves at $2\,\text{m s}^{-1}$ for $10$ s. After that, the particle remains at rest for $20$ s, before it gets back to its starting point when $t = 60$.
(a)[2]

Determine the velocity of the particle in the last $20$ s of its motion.

(b)[3]

Sketch the velocity-time graph for the particle's motion from $t = 0$ to $t = 60$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Total distance covered correctly found, e.g. $50 + 2\times 10 = 70$

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