1
1
The graph is a speed-time graph for a car.
20.0
speed
18.0
m/s
16.0
14.0
12.0
10.0
8.0
6.0
4.0
2.0
0.0
0.0
2.0
4.0
6.0
time / s
Calculate the distance travelled by this car between time = 2.0 s and time = 6.0 s.
distance travelled = ............................................ m [3]
[Total: 3]
2
A student measures a book.
2
(a) He measures the length of the book, as shown in the diagram.
The student records his measurements.
length of book = 19.9 cm
His measurement is not accurate.
Describe two ways that the student can improve the accuracy of his measurement.
1. .......................................................................................................................................
...........................................................................................................................................
2. .......................................................................................................................................
...........................................................................................................................................
[2]
(b) The book contains 200 thin sheets of paper.
The student wants to find the average (mean) thickness of a sheet of paper in the book.
Describe how he can determine such a small distance using only a ruler.
...........................................................................................................................................
...........................................................................................................................................
...........................................................................................................................................
...........................................................................................................................................
...........................................................................................................................................
[3]
3
(c) The book has a mass of 400 g.
Calculate the weight of the book. Include the unit.
weight =
..................................................... [4]
[Total: 9]
3
The diagram shows students about to start a 50.0 m swimming race.
(a) The length of the pool is 50.0 m.
Name a suitable piece of equipment that could be used to measure the length of the pool.
...........................................................................................................................................
[1]
(b) The race starts and the students swim to the end of the 50.0 m pool.
The diagram shows the times recorded on the stop watches for the winner and the swimmer
in second place.
4
(i)
Determine the time taken by the winner to swim 50.0 m. Use information from the
diagram.
winner’s time = .................................................... s [1]
(ii) Calculate the average speed of the winner.
average speed = ............................................ m / s [2]
(iii) Calculate the time difference between the winner and the swimmer in second place.
time difference = .................................................. s [1]
[Total: 5]
4
Three racing cars, A, B and C, all accelerate steadily and then continue at a constant speed. The
graph gives information about the movement of car A and car B at the start of the race.
5
(a) State the maximum speed of car A.
...........................................................................................................................................
[1]
(b) Calculate the distance travelled by car B when accelerating.
distance = ....................................................... m
[3]
(c) Car C has a greater acceleration than car A, but it reaches a lower constant speed than
car B.
On the graph, draw a line to show the movement of car C.
[2]
[Total: 6]
6
5
A measuring cylinder contains some water. A small metal block is slowly lowered into the water
and is then removed.
Finally a piece of plastic is attached to the metal block and the block is again slowly lowered into
the water.
The diagrams show the measuring cylinder at each stage of this process.
1
2
3
cm3
100
cm3
100
cm3
100
90
90
90
80
80
80
70
70
70
60
60
60
50
50
50
40
40
40
30
30
30
20
20
20
10
10
10
metal block
plastic
metal block
What is the volume of the piece of plastic?
A
10 cm
3
B
25 cm
3
C
70 cm
3
D
80 cm
3
[1]
[Total: 1]
6
A boat is moving at constant speed.
(a) On the axes, sketch a distance-time graph for the boat.
[1]
7
(b) The boat is (a) is moving due west at a speed of 6.5 m / s relative to the water. The water is
moving due south at 3.5 m / s.
In the space below, draw a scale diagram to determine the size and direction of the resultant
of these two velocities. State the scale used.
scale .............................................
size of resultant velocity = .............................................
direction of resultant ............................................. [4]
[Total: 5]
7
A student determines the speed of three cars on a straight road.
The student measured the time for the cars to travel 50 m.
(a) The table shows the measurements.
car
distance travelled / m
time taken / s
A
50
3.2
B
50
4.0
C
50
3.6
8
(i)
Without calculation, identify the fastest car and the slowest car.
Complete the table.
car
the fastest car
the slowest car
[2]
(ii) Calculate the speed of car B.
speed = .......................................................... m / s [3]
(b)
(i)
Estimate the time, in minutes, for car C to travel 5000 m.
estimated time = .......................... minutes [2]
(ii) Explain why your answer in (b)(i) may not be the same as the actual time taken for the
car to travel 5000 m.
................................................................................................................................
................................................................................................................................
[1]
[Total: 8]
8
The diagram shows the speed-time graph for the motion of a car.
9
The mass of the car is 1200 kg.
(a) Calculate, for the first 20 s of the motion,
(i)
the distance travelled by the car,
distance = .......................................................... [2]
(ii) the acceleration of the car,
acceleration = .................................................... [2]
(iii) the resultant force acting on the car.
resultant force = ................................................. [2]
10
(b) Describe the motion of the car in the period of time from 25 s to 40 s.
...........................................................................................................................................
...........................................................................................................................................
[1]
[Total: 7]
9
Astronauts set up a mirror on the Moon’s surface. A laser beam is transmitted from the Earth’s
surface to the mirror and is then reflected back to Earth.
On a certain day, the time between transmitting the beam from a point on the Earth’s surface and
receiving the reflected signal at the same point is 2.56 s.
8
The speed of the laser beam is 3.00 × 10 m / s.
Calculate the distance between the Earth’s surface and the Moon’s surface.
distance = ..................................................................... [3]
[Total: 3]
11
10 Some cyclists are racing around a track.
The graph is a speed-time graph for one cyclist.
Calculate the distance travelled by the cyclist in the first 5 seconds.
distance = .............................................. m
[3]
[Total: 3]