Mathematics 4024 · O Level · Graphs in practical situations

Graphs in practical situations — practice question

A car sets off from rest. For the first $20$ seconds, it accelerates uniformly until its speed becomes $15\,\text{m s}^{-1}$. After that, it continues at a steady speed of $15\,\text{m s}^{-1}$ for $40$ seconds.
(a)[2]

On the grid, sketch the speed-time graph for the car’s journey.

(b)[1]

Calculate the car’s acceleration in the first $20$ seconds of the journey.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Straight line joining $(0,0)$ to $(20,15)$

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