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Uni Vectors and Horizontal Motion Review

Total questions: 60

Worksheet time: 30mins

Name
Class
Date
1.

A vector A = 5 i + 12 j m. What is its magnitude?

a)

12.0 m

b)

13.0 m

c)

17.0 m

d)

7.0 m

2.

Which of the following is the unit vector in the direction of B = 3 i - 4 j?

a)

(0.6 i - 0.8 j)

b)

(0.8 i - 0.6 j)

c)

(3 i - 4 j)

d)

(4 i + 3 j)

3.

The unit vector along R = 8 i + 15 j is:

a)

(0.47 i + 0.88 j)

b)

(8 i + 15 j)

c)

(0.6 i + 0.8 j)

d)

(15 i + 8 j)

4.

If C = 7 i - 24 j, what is the direction angle θ from the +x axis?

a)

106.6°

b)

73.4°

c)

45.0°

d)

120.0°

5.

The vector D = 10 i + 0 j is:

a)

purely horizontal

b)

purely vertical

c)

inclined 45°

d)

zero vector

6.

A unit vector u has components (0.707, 0.707). Its magnitude is:

a)

0.5

b)

1.0

c)

1.4

d)

2.0

7.

The vector P = 6 i + 8 j. Its unit vector is:

a)

(0.6 i + 0.8 j)

b)

(0.8 i + 0.6 j)

c)

(0.75 i + 0.25 j)

d)

(0.25 i + 0.75 j)

8.

A vector has a magnitude of 20 m and is directed 60° above the +x axis. Its unit vector is:

a)

A. (0.5 i + 0.866 j)

b)

B. (10 i + 17.32 j)

9.

Which is NOT a unit vector?

a)

(1, 0)

b)

(0, 1)

c)

(0.5, 0.5)

d)

(√2/2, √2/2)

10.

If u is a unit vector in the direction of v = -5 i + 12 j, then u is:

a)

(-0.3846 i + 0.9231 j)

b)

(0.3846 i - 0.9231 j)

c)

(5 i - 12 j)

d)

(-12 i + 5 j)

11.

Find the x-component of A = 20 m at 37° above the x-axis.

a)

20.0 m

b)

16.0 m

c)

12.0 m

d)

15.9 m

12.

The sum of A = 3 i + 4 j and B = -4 i + 2 j is:

a)

(-1 i + 6 j)

b)

(-7 i + 2 j)

c)

(7 i + 6 j)

d)

(-1 i - 6 j)

13.

A unit vector in the negative y-direction is:

a)

j

b)

-j

c)

i

d)

-i

14.

If a vector R has a magnitude of 50 m and a unit vector (0.6, 0.8), then R is:

a)

(30 i + 40 j)

b)

(25 i + 25 j)

c)

(40 i + 30 j)

d)

(50 i + 0 j)

15.

The magnitude of a unit vector is always:

a)

0

b)

1

c)

Depends on components

d)

Cannot be determined

16.

A car travels 60 km east in 1.5 h at constant velocity. Its speed is:

a)

30 km/h

b)

40 km/h

c)

50 km/h

d)

60 km/h

17.

A cyclist moves at a constant velocity of 12 m/s for 50 s. Distance traveled:

a)

500 m

b)

600 m

c)

750 m

d)

800 m

18.

A bus accelerates uniformly from rest to 20 m/s in 10 s. Its acceleration is:

a)

1 m/s²

b)

2 m/s²

c)

4 m/s²

d)

0.5 m/s²

19.

A motorbike starts at 5 m/s and accelerates at 3 m/s² for 8 s. Its final velocity is:

a)

24 m/s

b)

29 m/s

c)

30 m/s

d)

28 m/s

20.

In the previous question, the displacement is:

a)

112 m

b)

128 m

c)

140 m

d)

144 m

21.

A projectile moves horizontally at 15 m/s for 4 s before hitting the ground. Its horizontal displacement is:

a)

45 m

b)

50 m

c)

55 m

d)

60 m

22.

A runner increases speed from 4 m/s to 10 m/s in 6 s. Acceleration:

a)

1 m/s²

b)

0.75 m/s²

c)

2 m/s²

d)

1.5 m/s²

23.

A car moving at 20 m/s stops in 5 s. The uniform acceleration is:

a)

-4 m/s²

b)

4 m/s²

24.

The displacement during the motion in Q23 is:

a)

50 m

b)

60 m

c)

75 m

d)

100 m

25.

A cyclist travels 10 s at 8 m/s, then accelerates at 1 m/s² for 5 s. Total distance:

a)

125 m

b)

130 m

c)

140 m

d)

150 m

26.

A car travels at constant velocity of 72 km/h. In 25 minutes, it covers:

a)

18 km

b)

25 km

c)

30 km

d)

35 km

27.

A scooter accelerates from rest at 2 m/s² for 12 s. Final velocity:

a)

20 m/s

b)

22 m/s

c)

24 m/s

d)

26 m/s

28.

A motorist travels 100 m in 5 s at uniform velocity. His speed is:

a)

15 m/s

b)

18 m/s

c)

20 m/s

d)

25 m/s

29.

A ball rolls horizontally at 5 m/s. How far will it travel in 8 s?

a)

30 m

b)

35 m

c)

40 m

d)

45 m

30.

A car starts at 10 m/s and accelerates uniformly at 2 m/s² for 6 s. Displacement:

a)

48 m

b)

54 m

c)

60 m

d)

66 m

31.

The magnitude of a unit vector is always:

a)

0

b)

1

c)

Between 0 and 1

d)

Cannot be determined

32.

In unit vector notation, i represents a vector:

a)

Along the y-axis

b)

Along the x-axis

c)

Along the z-axis

d)

With zero magnitude

33.

Uniform motion means:

a)

Constant speed in a straight line

b)

Changing speed in a straight line

c)

Motion along a curved path

d)

Varying acceleration

34.

The SI unit of velocity is:

a)

m/s²

b)

m/s

c)

m

d)

s

35.

Which equation applies to uniform acceleration?

a)

v = u + at

b)

v = s/t

c)

a = Δv/Δt

d)

Both A and C

36.

A vector has components (0, -1). It points:

a)

Upward

b)

Downward

c)

Rightward

d)

Leftward

37.

Which statement is TRUE for a unit vector?

a)

It has no direction

b)

It always has a magnitude of 1

c)

It always points along the x-axis

d)

It has no components

38.

If a body is moving at constant velocity horizontally:

a)

There is no horizontal acceleration

b)

There is no horizontal velocity

39.

The difference between speed and velocity is that velocity:

a)

Has no direction

b)

Is scalar

c)

Has magnitude and direction

d)

Is always greater than speed

40.

If vector A = (3, 4) m and vector B = (−3, 4) m, then:

a)

They have the same magnitude but different directions

b)

They have the same direction but different magnitudes

c)

They are parallel

d)

They are equal

41.

In uniform acceleration, the velocity-time graph is:

a)

Horizontal line

b)

Vertical line

c)

Straight line sloping up or down

d)

Curved line

42.

Which best describes displacement?

a)

Total ground covered

b)

Change in position with direction

c)

Path length traveled

d)

Distance per unit time

43.

A particle moves horizontally at 10 m/s for 5 s. Displacement is:

a)

50 m

b)

40 m

c)

60 m

d)

45 m

44.

Find the unit vector of a vector with components (6, 8).

a)

(0.6, 0.8)

b)

(0.8, 0.6)

c)

(6, 8)

d)

(3, 4)

45.

A car accelerates from rest at 2 m/s² for 6 s. Its final velocity is:

a)

10 m/s

b)

12 m/s

c)

14 m/s

d)

18 m/s

46.

Vector A = (4, 0), Vector B = (0, 3). Their sum is:

a)

(4, 3)

b)

(3, 4)

c)

(7, 0)

d)

(0, 7)

47.

A bike moves at 12 m/s and decelerates at 3 m/s² until it stops. Time taken:

a)

2 s

b)

3 s

c)

4 s

d)

5 s

48.

A projectile moves horizontally at 20 m/s. In 3 s, it covers:

a)

50 m

b)

60 m

c)

40 m

d)

80 m

49.

A velocity-time graph is a straight line sloping upward. This indicates:

a)

Constant velocity

b)

Uniform acceleration

c)

Decreasing acceleration

d)

Variable acceleration

50.

Two vectors have equal magnitudes but opposite directions. Their sum is:

a)

Double one vector

b)

Zero

c)

Half one vector

d)

Perpendicular

51.

If a car moves at 10 m/s east for 5 s and then 10 m/s west for 5 s, its displacement is:

a)

0 m

b)

50 m

c)

100 m

d)

25 m

52.

A constant acceleration in the negative x-direction means:

a)

Speed is increasing in +x direction

b)

Speed is decreasing in +x direction

c)

Velocity is constant

d)

Displacement is zero

53.

The area under a velocity-time graph represents:

a)

Velocity

b)

Acceleration

54.

A vector has zero magnitude when:

a)

Its components are equal

b)

Its components are zero

c)

Its direction is undefined

d)

Both B and C

55.

A student claims that a body moving at constant velocity must have zero net force. This is:

a)

True, by Newton’s First Law

b)

False, because forces are always present

c)

True, only in vertical motion

d)

False, because motion requires force

56.

If two runners have the same speed but different velocities, then:

a)

They are moving in the same direction

b)

They are moving in different directions

c)

They are at rest

d)

They have different accelerations

57.

Which situation shows uniform acceleration?

a)

A car traveling at a steady 60 km/h

b)

A train slowing down at a constant rate

c)

A plane changing direction but keeping speed constant

d)

A runner speeding up irregularly

58.

You are designing a robot that must move in a straight line with a speed of 2 m/s. Which control instruction ensures uniform motion?

a)

Keep acceleration at 2 m/s²

b)

Keep acceleration at 0

c)

Gradually reduce acceleration

d)

Alternate between positive and negative acceleration

59.

To create a horizontal motion experiment with uniform acceleration, you should:

a)

Use a frictionless track and constant force

b)

Vary the force every second

c)

Use different mass carts in each trial

d)

Measure only displacement, not time

60.

You are tasked with programming a game character to move diagonally. Which vector instruction is correct for equal x and y motion?

a)

Velocity = (1, 0)

b)

Velocity = (0, 1)

c)

Velocity = (v/√2, v/√2)

d)

Velocity = (v, v)