Distance-Time and Speed-Time Graphs - SAP Education

[Pages:5]Distance-Time and Speed-Time Graphs

Movement (a) Stationary

Distance-Time Graphs Distance

Speed-Time Graphs Speed

(b) Uniform speed

Distance

Time Speed

Time

Time

Time

(c) Increasing speed (constant acceleration)

Distance

Speed

Time

Time

(d) Decreasing speed (constant deceleration)

Distance

Speed

Time

Time

Adapted:

Be Great at Mathematics Secondary 3 & 4

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PRACTICE QUESTIONS 1. The diagram shows the speed-time graph of a cyclist's journey.

Speed (m/min)

50 40 30 20 10

0 10 20 30 40 50 60 70 80 90 Complete the distance-time graph for the journey.

Distance (m) 4000 3500 3000 2500 2000 1500 1000 500

0 10 20 30 40 50 60 70 80 90

Time (t min) Time (t min)

Adapted:

Be Great at Mathematics Secondary 3 & 4

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2. The diagram shows the speed-time graph for the first 25 seconds of a motorcyclist's journey. Speed (metres per second)

25 20 15 10 5

0

5

10

15

20

25

Time (t seconds)

Complete the distance-time graph for the journey. Distance travelled (metres)

500

400

300

200

100

0

5

10 15

20 25

Time (t seconds)

Adapted:

Be Great at Mathematics Secondary 3 & 4

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3. The three diagrams show the speed-time graphs for the first 20 seconds of the journeys of three

cyclists.

(i)

(ii)

50

50

Speed (m/s)

Speed (m/s)

0

(iii) 50

10

20

Time (s)

0

10

20

Time (s)

Speed (m/s)

0

10

20

Time (s)

On the axes of the diagrams below, draw the distance-time graphs for the journeys of the three

cyclists.

(i)

(ii)

750

500

Distance (m)

Distance (m)

500

250

250 0

10

20

Time (s)

0

10

20

Time (s)

Distance (m)

(iii) 500

250

0

10

20

Time (s)

Adapted:

Maths Gym Secondary 3/4

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Solutions to:

Distance-Time and Speed-Time Graphs

1. Distance (m)

4000 3500 3000 2500 2000 1500 1000 500

0 10 20 30 40 50 60 70 80 90

Time (t min)

2. Distance travelled (metres)

500

400

300

200

100 Time (t seconds)

0 5 10 15 20 25

3. (i) (b)

Distance (m)

Distance (m)

750 500 250

0 10 20 Time (s)

500 250

0 10 20 Time (s)

Distance (m)

(iii) 500 250

0 10 20 Time (s)

Adapted:

Be Great at Mathematics Secondary 3 & 4 and

Maths Gym Secondary 3/4

? Singapore Asia Publishers Pte Ltd. All rights reserved.

S1

Reproducible for home/classroom use only.

STRICTLY NOT FOR SALE.

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