AS and A Level Physics Original material © Cambridge University Press 2010 1

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

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

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

2 Which of the following correctly lists one scalar and one vector quantity? [1]

Scalar quantity Vector quantity A displacement velocity B speed displacement C speed distance D velocity displacement

3 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]

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? [1]

A B C D

Time / s Distance / m Time / s Distance / m Time / s Distance / m Time / s Distance / m 0 0 0 0 0 0 0 0 1 25 1 50 1 40 1 25 2 50 2 100 2 60 2 60

40 cm

1 Worksheet (AS)

AS and A Level Physics Original material © Cambridge University Press 2010 2

5 Three velocity vectors, u, v and X are shown in the diagram. [1]

Which statement about the vectors is correct?

A v added to u produces a resultant X B u added to X produces a resultant v C the magnitude of v equals the sum of the magnitude of u and the magnitude of X D the magnitude of u equals the sum of the magnitude of X and the magnitude of v.

6 Explain what is meant by: a a scalar quantity [1] b a vector quantity. [1]

7 Name any three scalar quantities. [3]

8 a Define the velocity of an object. [1] b Use your answer to a to explain why velocity is a vector quantity. [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? [1] b Describe the journey of the object. [2] c Calculate the velocity of the object at 2.0 s. [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 [2] b for the total journey. [2]

1 Worksheet (AS)

AS and A Level Physics Original material © Cambridge University Press 2010 3

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

Calculate the velocity of the object at times: a 4.0 s [2] b 8.0 s. [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.) [2] 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 [1] ii 0.62 s? [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.) [2] b Describe the motion of the trolley. Explain your answer. [2] 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. [2] d The acceleration a of the trolley is given by:

takentime

yin velocit change=a

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

Total: 42

Score: %