Motion

Chapter 2 MCQs

For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

1

A car travels 150 m in 6.0 s.

What is its speed?

A 4.0 m/s
B 25 m/s
C 144 m/s
D 900 m/s

2

A cyclist travels 600 m in 2.0 minutes.

What is the average speed of the cyclist?

A 0.20 m/s
B 5.0 m/s
C 300 m/s
D 1200 m/s

3

A train travels 3.6 km in 2.0 minutes.

What is its average speed?

A 0.030 m/s
B 30 m/s
C 108 m/s
D 1800 m/s

4

A runner completes one full lap of a circular track of circumference 400 m in 80 s.

What are the runner’s average speed and average velocity?

	average speed	average velocity
A	0 m/s	5.0 m/s
B	5.0 m/s	0 m/s
C	5.0 m/s	5.0 m/s
D	400 m/s	0 m/s

5

An object moves 12 m east in 3.0 s.

What is its velocity?

A 4.0 m/s
B 4.0 m/s east
C 36 m/s
D 36 m/s east

6

Which statement correctly defines acceleration?

A distance travelled per unit time
B change in speed per unit distance
C change in velocity per unit time
D total distance divided by total time

7

A car increases its velocity from 10 m/s to 28 m/s in 6.0 s.

What is its acceleration?

A 3.0 m/s²
B 4.7 m/s²
C 6.3 m/s²
D 228 m/s²

8

A train slows from 30 m/s to 12 m/s in 9.0 s.

What is its acceleration?

A −2.0 m/s²
B +2.0 m/s²
C −4.7 m/s²
D +4.7 m/s²

9

A car moving at 24 m/s decelerates uniformly at 3.0 m/s².

How long does it take to stop?

A 0.125 s
B 8.0 s
C 21 s
D 72 s

10

A ball is dropped from rest. Ignore air resistance.

What is its speed after 3.0 s?

A 3.0 m/s
B 9.8 m/s
C 29.4 m/s
D 88.2 m/s

For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

11

An object falls freely from rest for 4.0 s. Take g = 9.8 m/s².

What is its speed after 4.0 s?

A 2.45 m/s
B 9.8 m/s
C 39.2 m/s
D 156.8 m/s

12

A ball is thrown vertically upwards. Ignore air resistance.

What is the acceleration of the ball at the highest point?

A 0 m/s²
B 4.9 m/s² upwards
C 9.8 m/s² downwards
D 9.8 m/s² upwards

13

Which distance–time graph represents an object at rest?

A a horizontal straight line
B a straight line sloping upwards
C a curve with increasing gradient
D a curve with decreasing gradient

14

A distance–time graph is a straight line sloping upwards.

What does this show?

A object at rest
B object moving with constant speed
C object moving with constant acceleration
D object moving with decreasing speed

15

A distance–time graph curves upwards and becomes steeper with time.

What does this show?

A object at rest
B object moving with constant speed
C object accelerating
D object decelerating

16

A distance–time graph becomes less steep as time increases.

What does this show?

A object moving faster
B object slowing down
C object at rest
D object moving backwards at constant speed

17

A speed–time graph is a horizontal straight line above the time axis.

What does this show?

A the object is at rest
B the object has constant speed
C the object has constant acceleration
D the object has changing acceleration

18

A speed–time graph is a straight line sloping upwards.

What does this show?

A uniform acceleration
B non-uniform acceleration
C constant speed
D object at rest

19

A speed–time graph is a curve sloping upwards, becoming steeper with time.

What does this show?

A constant speed
B uniform acceleration
C increasing acceleration
D deceleration

20

A speed–time graph is a straight line sloping downwards to the time axis.

What does this show?

A uniform deceleration to rest
B non-uniform acceleration
C constant speed
D object moving backwards

21

A distance–time graph for a car has a gradient of 12 m/s.

What does this gradient represent?

A acceleration
B distance
C speed
D time

22

A speed–time graph has a gradient of 2.5 m/s².

What does this gradient represent?

A acceleration
B distance
C speed
D displacement

23

The area under a speed–time graph represents:

A acceleration
B distance travelled
C final speed
D time taken

24

A car moves at a constant speed of 15 m/s for 12 s.

What distance does it travel?

A 0.80 m
B 27 m
C 180 m
D 1125 m

25

A car accelerates uniformly from rest to 20 m/s in 8.0 s.

What distance does it travel in this time?

A 40 m
B 80 m
C 160 m
D 320 m

For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

26

A cyclist accelerates uniformly from 4.0 m/s to 10 m/s in 6.0 s.

What distance is travelled?

A 18 m
B 30 m
C 42 m
D 60 m

27

A speed–time graph consists of a triangle with base 10 s and height 12 m/s.

What distance is represented by the graph?

A 22 m
B 60 m
C 120 m
D 240 m

28

A speed–time graph consists of a rectangle of width 8.0 s and height 5.0 m/s, followed by a triangle of base 4.0 s and height 5.0 m/s.

What is the total distance travelled?

A 20 m
B 40 m
C 50 m
D 60 m

29

A vehicle travels at 20 m/s for 5.0 s, then decelerates uniformly to rest in the next 4.0 s.

What is the total distance travelled?

A 40 m
B 100 m
C 140 m
D 180 m

30

A car accelerates uniformly from 5.0 m/s to 25 m/s in 4.0 s.

What is the acceleration?

A 5.0 m/s²
B 7.5 m/s²
C 20 m/s²
D 120 m/s²

31

A train moves with uniform acceleration. Its velocity increases from 12 m/s to 32 m/s in 10 s.

What distance does it travel?

A 100 m
B 200 m
C 220 m
D 320 m

32

A car moves at 18 m/s and then brakes uniformly to rest in 6.0 s.

What is the braking distance?

A 18 m
B 36 m
C 54 m
D 108 m

33

An object moves with constant acceleration from rest. Its speed after 5.0 s is 15 m/s.

What distance has it travelled?

A 15 m
B 37.5 m
C 75 m
D 150 m

34

A speed–time graph for an object is a horizontal line at 8.0 m/s from 0 s to 6.0 s.

What is the acceleration during this time?

A 0 m/s²
B 1.3 m/s²
C 8.0 m/s²
D 48 m/s²

35

A distance–time graph is horizontal for 10 s.

What is the speed of the object during these 10 s?

A 0 m/s
B 1.0 m/s
C 10 m/s
D cannot be determined

36

A student walks 80 m north, then 60 m south in a total time of 70 s.

What is the average speed?

A 0.29 m/s
B 1.43 m/s
C 2.00 m/s
D 140 m/s

37

A student walks 80 m north, then 60 m south in a total time of 70 s.

What is the magnitude of the average velocity?

A 0.29 m/s
B 1.43 m/s
C 2.00 m/s
D 140 m/s

38

A car travels 100 m east in 5.0 s, then 100 m west in 5.0 s.

What is its average velocity for the whole journey?

A 0 m/s
B 10 m/s east
C 20 m/s
D 20 m/s east

39

A car travels 100 m east in 5.0 s, then 100 m west in 5.0 s.

What is its average speed for the whole journey?

A 0 m/s
B 10 m/s
C 20 m/s
D 200 m/s

40

A train’s velocity changes from +20 m/s to −10 m/s in 5.0 s.

What is its acceleration?

A −6.0 m/s²
B −2.0 m/s²
C +2.0 m/s²
D +6.0 m/s²

For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

41

An object moving in a straight line has a negative velocity and a negative acceleration.

What happens to the speed of the object?

A it decreases
B it increases
C it remains constant
D it becomes zero immediately

42

An object moving in a straight line has a positive velocity and a negative acceleration.

What happens to the speed of the object?

A it decreases
B it increases
C it remains constant
D it must move backwards immediately

43

An object has uniform acceleration.

Which statement must be correct?

A Its speed is constant.
B Its velocity changes by equal amounts in equal times.
C Its distance travelled is the same every second.
D Its acceleration increases with time.

44

An object has non-uniform acceleration.

Which statement is correct?

A Its acceleration is zero.
B Its speed must be constant.
C Its velocity changes by unequal amounts in equal times.
D Its distance must decrease with time.

45

A speed–time graph is curved. The gradient at 4.0 s is greater than the gradient at 2.0 s.

What does this show?

A speed is lower at 4.0 s than at 2.0 s
B acceleration is greater at 4.0 s than at 2.0 s
C distance is smaller at 4.0 s than at 2.0 s
D time is decreasing

46

A car has a speed of 72 km/h.

What is this speed in m/s?

A 7.2 m/s
B 20 m/s
C 25.9 m/s
D 259 m/s

47

A cyclist has a speed of 12 m/s.

What is this speed in km/h?

A 3.3 km/h
B 12 km/h
C 33 km/h
D 43.2 km/h

48

A car travels at 10 m/s for 5 s and then at 20 m/s for 5 s.

What is its average speed for the whole journey?

A 10 m/s
B 15 m/s
C 20 m/s
D 30 m/s

49

A car travels 100 m at 10 m/s and then 100 m at 20 m/s.

What is its average speed for the whole journey?

A 10 m/s
B 13.3 m/s
C 15 m/s
D 20 m/s

50

A ball is thrown vertically upwards with an initial speed of 19.6 m/s. Ignore air resistance and take g = 9.8 m/s².

How long does it take to reach its highest point?

A 0.50 s
B 2.0 s
C 9.8 s
D 19.6 s

For Full Scale Course: Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

Chapter 2 Answer Key

Q	Ans	Q	Ans	Q	Ans	Q	Ans	Q	Ans
1	B	11	C	21	C	31	C	41	B
2	B	12	C	22	A	32	C	42	A
3	B	13	A	23	B	33	B	43	B
4	B	14	B	24	C	34	A	44	C
5	B	15	C	25	B	35	A	45	B
6	C	16	B	26	C	36	C	46	B
7	A	17	B	27	B	37	A	47	D
8	A	18	A	28	C	38	A	48	B
9	B	19	C	29	C	39	C	49	B
10	C	20	A	30	A	40	A	50	B

Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

Detailed Explanations

1. B

Speed = distance / time
Speed = 150 / 6.0
Speed = 25 m/s
A divides the wrong way.
C subtracts.
D multiplies distance and time.

2. B

2.0 minutes = 120 s
Speed = 600 / 120
Speed = 5.0 m/s
Big trap: minutes must be converted into seconds.
C uses 600 / 2 without converting minutes.

3. B

3.6 km = 3600 m
2.0 minutes = 120 s
Average speed = 3600 / 120
Average speed = 30 m/s
A is too small due to wrong conversion.
C and D come from unit chaos.

4. B

Average speed = total distance / total time
Speed = 400 / 80 = 5.0 m/s
After one full lap, displacement = 0
Average velocity = displacement / time = 0 m/s
Trap: distance is 400 m, but displacement is zero.

5. B

Velocity = displacement / time
Velocity = 12 / 3.0 = 4.0 m/s east
Velocity must include direction.
A is speed, not velocity.
C and D multiply instead of dividing.

6. C

Acceleration = change in velocity / time taken
Speed alone is not enough because velocity includes direction.
A defines speed.
D defines average speed.

7. A

Acceleration = change in velocity / time
Change in velocity = 28 − 10 = 18 m/s
Acceleration = 18 / 6.0 = 3.0 m/s²
B uses wrong subtraction/division.
D multiplies instead of dividing.

8. A

Acceleration = change in velocity / time
Change in velocity = 12 − 30 = −18 m/s
Acceleration = −18 / 9.0
Acceleration = −2.0 m/s²
Since the train slows down, acceleration is negative.

9. B

Initial speed = 24 m/s
Final speed = 0 m/s
Deceleration = 3.0 m/s²
Time = change in velocity / acceleration
Time = 24 / 3.0 = 8.0 s
D multiplies 24 × 3.

10. C

For free fall from rest:
v = gt
v = 9.8 × 3.0
v = 29.4 m/s
The speed increases by 9.8 m/s every second.

Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

11. C

v = gt
v = 9.8 × 4.0
v = 39.2 m/s
A divides 9.8 by 4.
D wrongly uses 9.8 × 4².

12. C

At the highest point, the ball’s velocity is momentarily zero.
But acceleration is still due to gravity.
Acceleration = 9.8 m/s² downwards
Trap: zero velocity does not mean zero acceleration.

13. A

On a distance–time graph:
- horizontal line = distance is not changing
- object is at rest
So speed = 0.

14. B

A straight sloping line on a distance–time graph has constant gradient.
Gradient of distance–time graph = speed.
Constant gradient = constant speed

15. C

Distance–time graph getting steeper means gradient is increasing.
Gradient = speed.
Speed increasing = accelerating

16. B

Distance–time graph becoming less steep means gradient is decreasing.
Gradient = speed.
Speed decreasing = slowing down / decelerating

17. B

On a speed–time graph:
- horizontal line above time axis = speed is constant
Acceleration is zero because gradient is zero.
Object is moving, not at rest.

18. A

Speed–time graph sloping upwards in a straight line:
- speed increases by equal amounts in equal times
This means uniform acceleration

19. C

A curved speed–time graph means changing acceleration.
If it becomes steeper, the gradient increases.
Gradient of speed–time graph = acceleration.
Therefore acceleration is increasing.

20. A

A straight line sloping downwards to the time axis means speed decreases uniformly to zero.
This is uniform deceleration to rest.
It does not mean the object moves backwards unless speed/velocity becomes negative.

21. C

Gradient of distance–time graph = speed.
Gradient = 12 m/s means the object’s speed is 12 m/s.
Acceleration comes from a speed–time graph, not a distance–time graph.

22. A

Gradient of speed–time graph = acceleration.
If gradient = 2.5 m/s², acceleration = 2.5 m/s²

23. B

Area under a speed–time graph = distance travelled.
For a velocity–time graph, area gives displacement.
Cambridge loves this trap, so lock it in.

24. C

Distance = speed × time
Distance = 15 × 12
Distance = 180 m

25. B

Speed–time graph is a triangle.
Distance = area under graph
Area = 1/2 × base × height
Distance = 1/2 × 8.0 × 20
Distance = 80 m

Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

26. C

Uniform acceleration, so use average speed.
Average speed = (initial speed + final speed) / 2
Average speed = (4.0 + 10) / 2 = 7.0 m/s
Distance = average speed × time
Distance = 7.0 × 6.0 = 42 m

27. B

Area under graph = distance
Graph is a triangle.
Area = 1/2 × 10 × 12
Distance = 60 m

28. C

Total distance = rectangle area + triangle area
Rectangle = 8.0 × 5.0 = 40 m
Triangle = 1/2 × 4.0 × 5.0 = 10 m
Total distance = 40 + 10 = 50 m

29. C

First part:
- distance = 20 × 5.0 = 100 m
Braking part:
- triangle area = 1/2 × 4.0 × 20 = 40 m
Total distance = 100 + 40 = 140 m

30. A

Acceleration = change in velocity / time
Change in velocity = 25 − 5 = 20 m/s
Acceleration = 20 / 4.0 = 5.0 m/s²

31. C

Uniform acceleration, so:
Average speed = (12 + 32) / 2 = 22 m/s
Distance = average speed × time
Distance = 22 × 10 = 220 m

32. C

Uniform braking from 18 m/s to 0 m/s.
Average speed = (18 + 0) / 2 = 9 m/s
Distance = 9 × 6.0 = 54 m
This is braking distance.

33. B

Initial speed = 0
Final speed = 15 m/s
Average speed = (0 + 15) / 2 = 7.5 m/s
Distance = 7.5 × 5.0 = 37.5 m

34. A

Horizontal speed–time graph means speed is constant.
Acceleration = gradient.
Gradient of horizontal line = 0
Acceleration = 0 m/s²

35. A

Horizontal distance–time graph means distance does not change.
Object is at rest.
Speed = 0 m/s

36. C

Average speed = total distance / total time
Total distance = 80 + 60 = 140 m
Average speed = 140 / 70 = 2.00 m/s
Speed uses distance, not displacement.

37. A

Average velocity = displacement / time
Displacement = 80 north − 60 south = 20 m north
Magnitude of average velocity = 20 / 70 = 0.29 m/s
Trap: velocity uses displacement, not total distance.

38. A

Car goes 100 m east, then 100 m west.
Final position = starting position
Displacement = 0
Average velocity = 0 / 10 = 0 m/s

39. C

Total distance = 100 + 100 = 200 m
Total time = 5.0 + 5.0 = 10 s
Average speed = 200 / 10 = 20 m/s

40. A

Acceleration = change in velocity / time
Change in velocity = final velocity − initial velocity
Change in velocity = −10 − (+20) = −30 m/s
Acceleration = −30 / 5.0 = −6.0 m/s²
The negative sign matters. It shows direction.

Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

41. B

Velocity is negative.
Acceleration is also negative.
Acceleration is in the same direction as motion.
So the object speeds up.
Speed increases.

Example:

Velocity may go from −5 m/s to −10 m/s.
Numerically it becomes more negative, but speed becomes larger.

42. A

Velocity is positive.
Acceleration is negative.
Acceleration acts opposite to motion.
So speed decreases.
The object does not move backwards immediately; it first slows down.

43. B

Uniform acceleration means constant acceleration.
Therefore velocity changes by equal amounts in equal time intervals.
A is wrong because speed is changing.
C is wrong because distance per second increases during acceleration.

44. C

Non-uniform acceleration means acceleration is changing.
So velocity changes by unequal amounts in equal time intervals.
A would mean no acceleration.
B would mean zero acceleration.
D is not necessarily true.

45. B

Gradient of speed–time graph = acceleration.
Greater gradient at 4.0 s means greater acceleration at 4.0 s.
The graph being curved shows changing acceleration.

46. B

Convert km/h to m/s:
72 km/h = 72 × 1000 / 3600
72 / 3.6 = 20 m/s
Shortcut: divide by 3.6.

47. D

Convert m/s to km/h:
12 × 3.6 = 43.2 km/h
Shortcut:
- km/h to m/s: divide by 3.6
- m/s to km/h: multiply by 3.6

48. B

The car spends equal time at each speed.
Average speed = (10 + 20) / 2
Average speed = 15 m/s
Or:
- distance at 10 m/s for 5 s = 50 m
- distance at 20 m/s for 5 s = 100 m
- total distance = 150 m
- total time = 10 s
- average speed = 150 / 10 = 15 m/s

49. B

The car travels equal distances, not equal times.
Time for first 100 m:
- t = 100 / 10 = 10 s
Time for second 100 m:
- t = 100 / 20 = 5 s
Total distance = 200 m
Total time = 15 s
Average speed = 200 / 15 = 13.3 m/s
Trap: do not simply average 10 and 20 here.

50. B

At the highest point, final velocity = 0
Initial velocity = 19.6 m/s upwards
Acceleration due to gravity = 9.8 m/s² downwards
Time = change in velocity / acceleration
Time = 19.6 / 9.8 = 2.0 s

Written and Compiled By Sir Hunain Zia (AYLOTI), World Record Holder With 154 Total Personal A Grades, 11 World Records and 7 Distinctions, Educate A Change.

Common Traps From This Chapter

Trap	Correct Rule
minutes used directly	convert minutes to seconds
km used directly with m/s	convert km to m
speed vs velocity	speed uses distance, velocity uses displacement
full lap motion	distance non-zero, displacement zero
highest point in vertical motion	velocity zero, acceleration still 9.8 m/s² downwards
distance–time gradient	speed
speed–time gradient	acceleration
speed–time area	distance travelled
horizontal distance–time graph	object at rest
horizontal speed–time graph	constant speed
sloping speed–time graph	acceleration or deceleration
curved speed–time graph	changing acceleration
equal time average speed	simple average works
equal distance average speed	use total distance / total time
positive velocity + negative acceleration	slowing down
negative velocity + negative acceleration	speeding up
km/h to m/s	divide by 3.6
m/s to km/h	multiply by 3.6

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