Mathematics 4024 · O Level · Graphs in practical situations

Graphs in practical situations — practice question

The diagram presents the speed-time graph of a train that slows from $20\text{ m/s}$ to rest in $T$ seconds.
(a(i))[1]

Find, in terms of $T$, an expression for the train's retardation.

(a(ii))[1]

Find the train's speed when $t = \frac{3}{4}T$.

(b(i))[1]

The train covers $150\text{ m}$ between $t = 0$ and $t = T$. Find $T$.

(b(ii))[1]

On the diagram, sketch the train's distance-time graph.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Equivalent expression: $\frac{20}{T}$ (oe)

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