CAIE IGCSE Mathematics Extended Practical Graphs

Practise interpreting and drawing travel, conversion and speed–time graphs and calculating rates or distances from gradients and areas.

Syllabus
2028–2030
Topic
E2.9
Level
Extended

Exam points

  • interpret coordinates, horizontal sections and slopes in travel or conversion contexts
  • draw ruled graph sections from given times, distances, speeds, stops or conversion data
  • calculate acceleration from gradient and distance from area under a speed–time graph

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

E2.9 Graphs in practical situations question 1

[Maximum number: 8]

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

Figure for Question E2.9 Graphs in practical situations question 1 — CAIE IGCSE Mathematics Extended

Question (a)

(a)

Find the acceleration, in m/s2\mathrm{m} / \mathrm{s}^{2}, of the train during the first 50 seconds. m/s2\mathrm{m} / \mathrm{s}^{2}

[ 1 ]

Question (b)

(b)

After 180 seconds, the train decelerates at a constant rate of 1944 km/h21944 \mathbf{~ k m} / \mathbf{h}^{\mathbf{2}}.

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

[ 2 ]

Question (c)

(c)

Complete the speed-time graph.

[ 1 ]

Question (d)

(d)

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

[ 4 ]
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