Name. ...................................................................................
9/26
3
2
A girl rides her bicycle along a straight level road. Fig. 2.1 shows a graph of her distance
moved against time.
For
Examiner’s
Use
D
400
C
300
distance / m
200
100
B
0
A
0
10
20
30
40
50
60
time / s
Fig. 2.1
(a) Describe her motion
(i)
from A to B, ..............................................................................................................
(ii)
from B to C, ..............................................................................................................
(iii)
from C to D. ..............................................................................................................
[3]
(b) Calculate
(i)
her average speed from A to D,
average speed = ................................................. [2]
(ii)
her maximum speed.
maximum speed = ................................................. [3]
[Total: 8]
© UCLES 2012
0625/31/M/J/12
1
[Turn over
Name. ...................................................................................
9/26
2
1
Fig. 1.1 is a distance / time graph showing the motion of an object.
For
Examiner’s
Use
25
distance / m
20
15
10
5
0
0
1
2
3
time / s
4
Fig. 1.1
(a) (i)
Describe the motion shown for the first 2 s, calculating any relevant quantity.
..................................................................................................................................
..................................................................................................................................
[2]
(ii)
After 2 s the object accelerates.
On Fig. 1.1, sketch a possible shape of the graph for the next 2 s.
[1]
(b) Describe how a distance / time graph shows an object that is stationary.
..........................................................................................................................................
..................................................................................................................................... [1]
© UCLES 2012
0625/32/M/J/12
2
Name. ...................................................................................
9/26
3
(c) Fig. 1.2 shows the axes for a speed / time graph.
For
Examiner’s
Use
10
8
speed
m/s
6
4
2
0
0
1
2
3
time / s
4
Fig. 1.2
On Fig. 1.2, draw
(i)
the graph of the motion for the first 2 s as shown in Fig. 1.1,
(ii)
an extension of the graph for the next 2 s, showing the object accelerating at 2 m / s2.
[3]
(d) Describe how a speed / time graph shows an object that is stationary.
..........................................................................................................................................
..................................................................................................................................... [2]
[Total: 9]
© UCLES 2012
0625/32/M/J/12
3
[Turn over
Name. ...................................................................................
9/26
6
4
A rocket, initially at rest on the ground, accelerates vertically.
For
Examiner’s
Use
It accelerates uniformly until it reaches a speed of 900 m / s after 30 s.
After this period of uniform acceleration, the rocket engine cuts out. During the next 90 s, the
upward speed of the rocket decreases uniformly to zero.
(a) On Fig. 4.1, plot a speed-time graph for the rocket for the first 120 s of its flight.
speed
m/s
time / s
Fig. 4.1
[4]
(b) Using the graph,
(i)
calculate the acceleration during the first 30 s,
acceleration = .................................................. [2]
© UCLES 2013
0625/32/M/J/13
4
Name. ...................................................................................
9/26
7
(ii)
determine the height reached by the rocket after 120 s.
For
Examiner’s
Use
height reached = .................................................. [2]
[Total: 8]
© UCLES 2013
0625/32/M/J/13
5
[Turn over
Name. ...................................................................................
9/26
2
1
A train is at rest in a railway station. At time t = 0, the train starts to move forwards with an
increasing speed until it reaches its maximum speed at time t = 48 s.
Fig. 1.1 is the speed-time graph for the first 48 s of the journey.
40
30
speed
m/s
20
10
0
0
20
40
60
100
80
120
time / s
Fig. 1.1
(a) (i)
State how the graph shows that, during the first 48 s of the journey, the acceleration
of the train is constant.
..................................................................................................................................
............................................................................................................................. [1]
(ii)
Calculate the acceleration of the train during the first 48 s of the journey.
acceleration = .................................................. [2]
(b) After time t = 48 s, the train continues at its maximum speed for another 72 s.
(i)
On Fig. 1.1, sketch the speed-time graph for the next 72 s of the journey.
[1]
(ii)
Determine the total distance travelled by the train in the 120 s after it starts moving.
distance = .................................................. [3]
[Total: 7]
© UCLES 2013
0625/33/M/J/13
6
For
Examiner’s
Use
Name. ...................................................................................
9/26
2
1
(a) Define acceleration. Explain any symbols in your definition.
...................................................................................................................................................
...............................................................................................................................................[1]
(b) Fig. 1.1 shows a graph of speed against time for a train. After 100 s the train stops at a
station.
30
speed 25
m/s
20
15
10
5
0
0
20
40
60
80
100 120 140 160 180 200 220 240 260 280
time / s
Fig. 1.1
(i)
For the time interval between 40 s and 100 s, calculate the distance travelled by the train.
distance = ...........................................................[2]
(ii)
The train stops for 80 s, then accelerates to 30 m / s with an acceleration of 0.60 m / s2. It
then travels at constant speed.
Complete the graph for the interval 100 s to 280 s, showing your calculations in the space
below.
[5]
[Total: 8]
© UCLES 2011
0625/31/O/N/11
7
Name. ...................................................................................
9/26
2
1
Fig. 1.1 shows the graph of speed v against time t for a train as it travels from one station to
the next.
For
Examiner’s
Use
20
v
m/s
10
0
0
20
40
60
80
100
120
140
160
t /s
Fig. 1.1
(a) Use Fig. 1.1 to calculate
(i)
the distance between the two stations,
distance = ................................................. [4]
(ii)
the acceleration of the train in the first 10 s.
acceleration = ................................................. [2]
© UCLES 2012
0625/31/O/N/12
8
Name. ...................................................................................
9/26
3
(b) The mass of the train is 1.1 × 105 kg.
For
Examiner’s
Use
Calculate the resultant force acting on the train in the first 10 s.
resultant force = ................................................. [2]
(c) The force generated by the engine of the train is called the driving force.
Write down, in words, an equation relating the driving force to any other forces acting on
the train during the period t = 10 s to t = 130 s.
.................................................................................................................................... [1]
[Total: 9]
© UCLES 2012
0625/31/O/N/12
9
[Turn over