Mathematics 0580 · IGCSE · Differentiation

Differentiation — practice question

The graph plots a cyclist’s speed over a $30$ second journey. The vertical axis is labelled Speed (m/s), while the horizontal axis is Time (seconds).
(a)[1]

Write down the cyclist’s acceleration between $15$ seconds and $25$ seconds.

(b)[2]

Using a tangent, find an estimate for the cyclist’s acceleration at $7.5$ seconds.

(c)[3]

Work out the cyclist’s average speed between $15$ seconds and $30$ seconds.

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