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

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Covered syllabus points

E2.9.1 Use and interpret graphs in practical situations including travelE2.9.2 Draw graphs from given data.E2.9.3 Apply the idea of rate of change to simple kinematics involvingE2.9.4 Calculate distance travelled as area under a speed–time graph

Question 1

[Maximum number: 3]

Annette cycles a distance of 70 km from Midville to Newtown.
Leaving Midville, she cycles for 1 hour 30 minutes at a constant speed of 20 km/h20 \mathrm{~km} / \mathrm{h} and then stops for 30 minutes.
She then continues the journey to Newtown at a constant speed of 16 km/h16 \mathrm{~km} / \mathrm{h}.

Figure for Question 1 — CAIE IGCSE Mathematics Extended

On the grid, draw the distance-time graph for the journey.

Question 2

[Maximum number: 3]
Figure for Question 2 — CAIE IGCSE Mathematics Extended

The diagram shows the speed-time graph of part of a car journey.

Question (a)

(a)

Find the deceleration of the car between 10 and 13 seconds. m/s2[1]\mathrm{m} / \mathrm{s}^{2}[1]

[ 1 ]

Question (b)

(b)

Calculate the total distance travelled during the 13 seconds.
m\text{m}

[ 2 ]
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