Mathematics 4024 · O Level · Graphs in practical situations

Graphs in practical situations — practice question

This diagram shows the speed-time graph for $60$ seconds of a train’s trip. At the start of this section, the train is moving at $u\ \text{m s}^{-1}$.
(a)[1]

Keeping each answer in its simplest form, find expressions in terms of $u$ for the deceleration over the final $10$ seconds.

(b)[1]

Find the speed at $t=55$.

(c)[2]

Find the distance covered in these $60$ seconds.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\frac{u}{10}$

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