Mathematics 0580 · IGCSE · Graphs in practical situations

Graphs in practical situations — practice question

This diagram is a speed-time graph covering the last 40 seconds of a car journey. The vertical axis is labelled Speed (m/s), and the horizontal axis is labelled Time (seconds). At $t=0$, the speed is $v$. From 0 to 24 seconds, the speed rises in a straight line to $v+10$. From 24 to 40 seconds, the speed falls in a straight line to 0. The diagram is marked NOT TO SCALE.
(a)[1]

Find the car’s acceleration in the first 24 seconds.

(b)[4]

Find the value of $v$ from the graph.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Answer: $\frac{5}{12}$ or 0.417

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