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The diagram shows the speed-time graph for the first 180 seconds of a train journey.

Figure for Question 1 — CAIE IGCSE Mathematics Extended

(a)

Find the acceleration, in $\mathrm{m} / \mathrm{s}^{2}$ , of the train during the first 50 seconds. $\mathrm{m} / \mathrm{s}^{2}$

[ 1 ]

0.18 or $\frac{9}{50}$

1

(b)

After 180 seconds, the train decelerates at a constant rate of $1944 \mathbf{~ k m} / \mathbf{h}^{\mathbf{2}}$ .

Show that the train decelerates for 60 seconds until it stops.

[ 2 ]

$1944\times\frac{1000}{3600\times3600}$ $9\div0.15=60$

(c)

Complete the speed-time graph.

[ 1 ]

(d)

Calculate the average speed of the train for the whole journey.

[ 4 ]

6.9375

M2 for area $=\frac{1}{2}\times(130+240)\times9$ oe
or M1 for one correct partial area
M1dep for their total area $\div240$

CAIE IGCSE Mathematics Extended E2.9 Graphs in Practical Situations Topic Practice

Question 1

Question (a)

Question (b)

Question (c)

Question (d)