Distance Versus Time Graph
90
E
80
Distance from
home(m)
(m)
distance
70
60
50
C
40
D
B
30
20
10 A
0
0
F
5
10
15
Time
time (s)
(s)
20
25
30
The graph shows the journey of a cyclist. He leaves his starting position heading east.
1. How far has the cyclist traveled between points A and B?
2. How far did the cyclist travel throughout his entire journey?
3. Describe the cyclist’s speed between points C and D.
4. Describe the cyclist’s speed between points D and E.
5. Describe the cyclist’s speed between points B and C.
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6. Between which two points is the cyclist traveling the fastest?
7. Between which two points is the cyclist traveling the slowest?
8. Calculate the average speed of the cyclist between points A and E.
9. Calculate the average speed of the cyclist between points E and F.
10. Calculate the average speed through the cyclist’s entire journey.
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Distance Versus Time Graph
3000
G
F
distance(m)
(m)
Distance
2500
2000
D
E
1500
1000
B
500
0
C
A
0
120
240
360
480
Time
time(s)
(s)
600
720
The graph shows the journey of a woman taking the bus into town.
11. For the first part of her journey she walks to
the bus stop. How long does this take?
12. How long did she wait for the bus to arrive?
13. How long does the journey take on the bus? (C to G)
14. How far from the woman’s house is the bus stop?
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15. How far from the woman’s house is the town?
16. How fast does the woman walk to the bus stop?
17. What is the average speed of the entire bus journey?
18. If the woman were to walk to the town,
how long would it take her?
19. Suggest what is happening between points D and E.
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Distance Versus Time Graph Answers
1. How far has the cyclist traveled between
points A and B?
30 m
11. For the first part of her journey she walks
to the bus stop. How long does this take?
180 s
2. How far did the cyclist travel throughout
his entire journey?
160 m
12. How long did she wait for the bus
to arrive?
90 s
3. Describe the cyclist’s speed between
points C and D.
Stationary / zero
13. How long does the journey take on the bus?
510 s
4. Describe the cyclist’s speed between
points D and E.
Moving quickly
5. Describe the cyclist’s speed between
points B and C.
Moving slowly
6. Between which two points is the cyclist
traveling the fastest?
D and E
7. Between which two points is the cyclist
traveling the slowest?
B and C
8. Calculate the average speed of the cyclist
between points A and E.
4.44 m/s
9. Calculate the average speed of the cyclist
between points E and F.
11.43 m/s
14. How far from the woman’s house is
the bus stop?
400 m
15. How far from the woman’s house
is the town?
2800 m
16. How fast does the woman walk to
the bus stop?
2.22 m/s
17. What is the average speed of the entire
bus journey?
4.71 m/s
18. If the woman were to walk to the town,
how long would it take her?
1261.26 s or 21.02 minutes
19. Suggest what is happening between
points D and E.
Stationary- another bus
stop, traffic lights
10. Calculate the average speed through the
cyclist’s entire journey.
6.40 m/s
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