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1 Worksheet (AS) Data needed to answer questions can be found in the Data, formulae and relationships sheet. 1

Five speeds are listed.

[1]

6 m s−1 6 cm s−1 6 km s−1 6 m h−1 Starting with the smallest, what is the order of increasing magnitude of these speeds? A B C D 2

6 m s−1 → 6 cm s−1 → 6 km s−1 → 6 m h−1 6 cm s−1→ 6 m s−1 → 6 km s−1 → 6 m h−1 6 m h−1 → 6 cm s−1 → 6 km s−1 → 6 m s−1 6 m h−1 → 6 cm s−1 → 6 m s−1→ 6 km s−1

Which of the following correctly lists one scalar and one vector quantity? A B C D

3

Scalar quantity displacement speed speed velocity

[1]

Vector quantity velocity displacement distance displacement

The diagram shows a strip of paper tape pulled at constant speed under a ticker-timer. The ticker-timer makes 50 dots per second.

[1]

40 cm

What was the speed of the object? A 4 cm s−1 B 10 cm s−1 C 200 cm s−1 D 400 cm s−1 4

A racing car is fitted with a computer that records the distance travelled every second. Which set of readings shows that the car is decreasing in speed?

Time / s 0 1 2

A Distance / m 0 25 50

AS and A Level Physics

Time / s 0 1 2

B Distance / m 0 50 100

Time / s 0 1 2

C Distance / m 0 40 60

Time / s 0 1 2

[1] D Distance / m 0 25 60

Original material © Cambridge University Press 2010

1

1 Worksheet (AS)

5

Three velocity vectors, u, v and X are shown in the diagram.

[1]

Which statement about the vectors is correct? A B C D 6

v added to u produces a resultant X u added to X produces a resultant v the magnitude of v equals the sum of the magnitude of u and the magnitude of X the magnitude of u equals the sum of the magnitude of X and the magnitude of v.

Explain what is meant by: a a scalar quantity b a vector quantity.

[1] [1]

7

Name any three scalar quantities.

[3]

8

a Define the velocity of an object. b Use your answer to a to explain why velocity is a vector quantity.

[1] [2]

9

Cannons are being fired in a mock battle scene. The spectators are at a safe distance of 600 m from the cannons. Calculate how long it would take for the sound from the cannons to reach the spectators. (Speed of sound in air = 340 m s−1.)

[2]

10 A small insect travels a distance of 24 cm in a time of 4.0 minutes. Calculate the average speed of the insect in m s−1.

[2]

11 The displacement–time graph for an object is shown below.

a What does the gradient of a displacement–time graph represent? b Describe the journey of the object. c Calculate the velocity of the object at 2.0 s.

[1] [2] [2]

12 A cyclist travels a distance of 3.2 km in 15 minutes. She rests for 30 minutes. She then covers a further distance of 6.2 km in a time of 40 minutes. Calculate the average speed of the cyclist in m s−1: a for the first 15 minutes of the journey b for the total journey.

AS and A Level Physics

[2] [2]

Original material © Cambridge University Press 2010

2

1 Worksheet (AS)

13 The diagram shows the displacement–time graph for an object.

Calculate the velocity of the object at times: a 4.0 s b 8.0 s.

[2] [2]

14 The diagram below shows a stone moving in a horizontal circle of radius 70 cm.

The stone takes a time of 0.62 s for each revolution. a

Calculate the speed of the stone. (Hint: In a time of 0.62 s, the stone travels a distance equal to the circumference of the circle.) b The stone starts at point A. What is the magnitude of the displacement of the stone from A after a time of: i 0.31 s ii 0.62 s?

[2]

[1] [1]

15 The table below shows the time taken (t) and the displacement (s) of a trolley rolling down a ramp. Time / s

0

0.1

0.2

0.3

0.4

0.5

0.6

Displacement / 10−2 m

0

0.8

3.0

6.8

12.0

18.9

27.0

a Plot a graph of displacement against time. (Make sure that you sketch a smooth curve.) b Describe the motion of the trolley. Explain your answer. c By drawing tangents to the curve at times 0.2 s and 0.5 s, determine the velocities of the trolley at these times. d The acceleration a of the trolley is given by:

a=

[2] [2] [2]

change in velocity time taken

Use the equation above and your answers to c to determine the acceleration a of the trolley. [2] Total:

AS and A Level Physics

42

Score:

Original material © Cambridge University Press 2010

%

3

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Five speeds are listed.

[1]

6 m s−1 6 cm s−1 6 km s−1 6 m h−1 Starting with the smallest, what is the order of increasing magnitude of these speeds? A B C D 2

6 m s−1 → 6 cm s−1 → 6 km s−1 → 6 m h−1 6 cm s−1→ 6 m s−1 → 6 km s−1 → 6 m h−1 6 m h−1 → 6 cm s−1 → 6 km s−1 → 6 m s−1 6 m h−1 → 6 cm s−1 → 6 m s−1→ 6 km s−1

Which of the following correctly lists one scalar and one vector quantity? A B C D

3

Scalar quantity displacement speed speed velocity

[1]

Vector quantity velocity displacement distance displacement

The diagram shows a strip of paper tape pulled at constant speed under a ticker-timer. The ticker-timer makes 50 dots per second.

[1]

40 cm

What was the speed of the object? A 4 cm s−1 B 10 cm s−1 C 200 cm s−1 D 400 cm s−1 4

A racing car is fitted with a computer that records the distance travelled every second. Which set of readings shows that the car is decreasing in speed?

Time / s 0 1 2

A Distance / m 0 25 50

AS and A Level Physics

Time / s 0 1 2

B Distance / m 0 50 100

Time / s 0 1 2

C Distance / m 0 40 60

Time / s 0 1 2

[1] D Distance / m 0 25 60

Original material © Cambridge University Press 2010

1

1 Worksheet (AS)

5

Three velocity vectors, u, v and X are shown in the diagram.

[1]

Which statement about the vectors is correct? A B C D 6

v added to u produces a resultant X u added to X produces a resultant v the magnitude of v equals the sum of the magnitude of u and the magnitude of X the magnitude of u equals the sum of the magnitude of X and the magnitude of v.

Explain what is meant by: a a scalar quantity b a vector quantity.

[1] [1]

7

Name any three scalar quantities.

[3]

8

a Define the velocity of an object. b Use your answer to a to explain why velocity is a vector quantity.

[1] [2]

9

Cannons are being fired in a mock battle scene. The spectators are at a safe distance of 600 m from the cannons. Calculate how long it would take for the sound from the cannons to reach the spectators. (Speed of sound in air = 340 m s−1.)

[2]

10 A small insect travels a distance of 24 cm in a time of 4.0 minutes. Calculate the average speed of the insect in m s−1.

[2]

11 The displacement–time graph for an object is shown below.

a What does the gradient of a displacement–time graph represent? b Describe the journey of the object. c Calculate the velocity of the object at 2.0 s.

[1] [2] [2]

12 A cyclist travels a distance of 3.2 km in 15 minutes. She rests for 30 minutes. She then covers a further distance of 6.2 km in a time of 40 minutes. Calculate the average speed of the cyclist in m s−1: a for the first 15 minutes of the journey b for the total journey.

AS and A Level Physics

[2] [2]

Original material © Cambridge University Press 2010

2

1 Worksheet (AS)

13 The diagram shows the displacement–time graph for an object.

Calculate the velocity of the object at times: a 4.0 s b 8.0 s.

[2] [2]

14 The diagram below shows a stone moving in a horizontal circle of radius 70 cm.

The stone takes a time of 0.62 s for each revolution. a

Calculate the speed of the stone. (Hint: In a time of 0.62 s, the stone travels a distance equal to the circumference of the circle.) b The stone starts at point A. What is the magnitude of the displacement of the stone from A after a time of: i 0.31 s ii 0.62 s?

[2]

[1] [1]

15 The table below shows the time taken (t) and the displacement (s) of a trolley rolling down a ramp. Time / s

0

0.1

0.2

0.3

0.4

0.5

0.6

Displacement / 10−2 m

0

0.8

3.0

6.8

12.0

18.9

27.0

a Plot a graph of displacement against time. (Make sure that you sketch a smooth curve.) b Describe the motion of the trolley. Explain your answer. c By drawing tangents to the curve at times 0.2 s and 0.5 s, determine the velocities of the trolley at these times. d The acceleration a of the trolley is given by:

a=

[2] [2] [2]

change in velocity time taken

Use the equation above and your answers to c to determine the acceleration a of the trolley. [2] Total:

AS and A Level Physics

42

Score:

Original material © Cambridge University Press 2010

%

3

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