Mathematics 4024 · O Level · Graphs in practical situations

Graphs in practical situations — practice question

The diagram presents the cyclist’s journey as a speed-time graph.
(a(i))[1]

Calculate the cyclist’s acceleration in the first $8$ seconds.

(a(ii))[1]

Describe the cyclist’s motion from $t = 8$ to $t = 90$.

(a(iii))[3]

The cyclist’s total distance for the journey is $558\text{ m}$. Find the value of $T$.

(a(iv))[2]

Convert $6\text{ m s}^{-1}$ to $\text{km h}^{-1}$.

(b)[3]

A car covers $352\text{ km}$, accurate to the nearest kilometre. The journey takes $4.2$ hours, accurate to the nearest $0.1$ hour. Calculate the upper bound for the average speed of the car.

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