Mathematics 0580 · IGCSE · Graphs in practical situations

Graphs in practical situations — practice question

A speed-time graph (not to scale) depicts a car beginning from rest, increasing its speed for $u$ seconds until it reaches $10\,\text{m s}^{-1}$, and then continuing at $10\,\text{m s}^{-1}$ for $2u$ seconds. The distance covered in the first $3u$ seconds is 125 m.
(a)[3]

Determine the value of $u$.

(b)[1]

Determine the acceleration during the first $u$ seconds.

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