Topic 2.1 Summative-Motion
Graphs [12 marks]
1. A boy runs along a straight horizontal track. The graph shows how his
speed v varies with time t.
[1 mark]
After 15 s the boy has run 50 m. What is his instantaneous speed and his average
speed when t = 15 s?
var
toffee
77sec 3.3sec
2. The variation of the displacement of an object with time is shown on a
graph. What does the area under the graph represent?
A. No physical quantity
B. Velocity
C. Acceleration
D. Impulse
[1 mark]
3. An object is thrown upwards. The graph shows the variation with time t of [1 mark]
the velocity v of the object.
What is the total displacement at a time of 1.5 s, measured from the point of
release?
A. 0 m
B. 1.25 m
C. 2.50 m
D. 3.75 m
A IX
Az
A3
5 5
4.5 5
12
5 5
1.25m
4. The graph shows the variation of speed v of an object with time t.
I
[1 mark]
Which graph shows how the distance s travelled by the object varies with t?
5. The graph shows the variation of the acceleration a of an object with time [1 mark]
t.
What is the change in speed of the object shown by the graph?
A. 0.5 m s–1
B. 2.0 m s–1
C. 36 m s–1
Had
D. 72 m s–1
6. A student draws a graph to show the variation with time t of the
acceleration a of an object.
[1 mark]
What can the student deduce from this graph only, and what quantity from the
graph is used to make this deduction?
7. The graph shows the variation with time t of the velocity of an object.
[1 mark]
' What is the variation with time t of the acceleration of the object?
8. The graph shows how the position of an object varies with time in the
interval from 0 to 3 s.
[1 mark]
At which point does the instantaneous speed of the object equal its average speed
over the interval from 0 to 3 s?
351
255
0.83ms
9. P and Q leave the same point, travelling in the same direction. The
graphs show the variation with time t of velocity v for both P and Q.
What is the distance between P and Q when
A.
20 m
B. 40 m
C. 60 m
D. 120 m
81 40
180
t = 8. 0 s?
7120
140
180140 40
10. The variation with time t of the acceleration a of an object is shown.
What is the change in velocity of the object from t = 0 to t = 6 s?
A. 6 m s–1
B. 8 m s–1
C. 10 m s–1
D. 14 m s–1
Iarea
underthe
a
curve
[1 mark]
2 111 2
2
2
5 4441
8
10 Ms
[1 mark]
11. The graph shows the variation of velocity of a body with time along a
straight line.
[1 mark]
What is correct for this graph?
A. The maximum acceleration is at P.
B. The average acceleration of the body is given by the area enclosed by the
graph and time axis.
C. The maximum displacement is at Q.
D. The total displacement of the body is given by the area enclosed by the graph
and time axis.
12. A runner starts from rest and accelerates at a constant rate throughout a [1 mark]
race. Which graph shows the variation of speed v of the runner with
distance travelled s?
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