Mathematics 4024 · O Level · Graphs in practical situations

Graphs in practical situations — practice question

A train runs between two stations and is at rest both when it sets off and when it arrives. For the first $30$ seconds, it speeds up uniformly from rest until its speed is $20\text{ m s}^{-1}$; during the following $60$ seconds it continues at a steady $20\text{ m s}^{-1}$; over the final $20$ seconds it decelerates uniformly until it comes to rest.
(a)[2]

Use the grid to plot the speed-time graph for this journey.

(b)[2]

Calculate the distance separating the stations.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate piecewise linear graph

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