Motion in Two Dimensions: Interactive Learning Quizzes for Year 12 Physics

Question 1

The displacement of a projectile launched at an angle to the horizontal is given by:

Accepted Answer

s = (v^2 * sin(θ) / g) * t

Answer

s = (v^2 * sin(2θ) / g) * t

Answer

s = (v^2 * cos(θ) / g) * t

Answer

s = (v^2 * tan(θ) / g) * t

Question 2

A car travels 100 km in 2 hours. What is its average speed in m/s?

Accepted Answer

27.8 m/s

Answer

13.9 m/s

Answer

55.6 m/s

Answer

111.1 m/s

Question 3

A stone is dropped from a height of 50 m. What is its velocity just before it hits the ground?

Accepted Answer

44.3 m/s

Answer

10 m/s

Answer

22.6 m/s

Answer

31.6 m/s

Question 4

The acceleration due to gravity on a planet is 10 m/s^2. A ball is thrown vertically upwards with a velocity of 20 m/s. What is its acceleration at the highest point of its trajectory?

Accepted Answer

0 m/s^2

Answer

9.8 m/s^2

Answer

10 m/s^2

Answer

20 m/s^2

Question 5

Which of the following is NOT a vector quantity?

Accepted Answer

Time

Answer

Displacement

Answer

Velocity

Answer

Acceleration

Question 6

A car travels 100km due east and then 50km due north. What is the car's resultant displacement?

Accepted Answer

112km at 26.5° north of east

Answer

50km at 45° north of east

Answer

150km at 0° north of east

Answer

150km at 90° north of east

Question 7

Which of the following is the equation for horizontal displacement in projectile motion when launched horizontally?

Accepted Answer

x = ut

Answer

x = vt

Answer

x = 0.5at^2

Answer

x = ut + 0.5at^2

Question 8

Which of the following is a vector quantity?

Accepted Answer

Acceleration

Answer

Speed

Answer

Distance

Answer

Temperature

Question 9

A projectile is launched with a velocity of (10, 20) m/s. What is the angle of projection measured from the horizontal?

Accepted Answer

45°

Answer

30°

Answer

60°

Answer

90°

Question 10

A ball is thrown vertically upward with a velocity of 20 m/s. What is its velocity at the highest point of its trajectory?

Accepted Answer

0 m/s

Answer

10 m/s

Answer

20 m/s

Answer

40 m/s

Question 11

Which of the following statements about projectile motion is false?

Accepted Answer

Projectile motion is a one-dimensional motion.

Answer

The horizontal acceleration of a projectile is zero.

Answer

The vertical acceleration of a projectile is due to gravity.

Answer

The trajectory of a projectile is a parabola.

Question 12

Which of the following is the SI unit for acceleration due to gravity?

Accepted Answer

m/s^2

Answer

m/s

Answer

km/h

Answer

km/h^2

Question 13

Which factor primarily determines the maximum height attained by a projectile during its trajectory?

Accepted Answer

Initial vertical velocity

Answer

Initial horizontal velocity

Answer

Gravitational acceleration

Answer

Air resistance

Question 14

To achieve the maximum range on a level surface, at what angle should a projectile be projected?

Accepted Answer

45 degrees

Answer

30 degrees

Answer

60 degrees

Answer

90 degrees

Question 15

Given a vector (3i + 4j), what is the value of its magnitude?

Accepted Answer

7

Answer

1

Answer

5

Answer

12

Question 16

Which equation accurately represents the horizontal displacement of a projectile, assuming negligible air resistance?

Accepted Answer

x = v0t

Answer

x = 1/2 * g * t^2

Answer

x = v0t + 1/2 * g * t^2

Answer

x = v0t - 1/2 * g * t^2

Question 17

What is the appropriate formula to calculate the time of flight for a projectile, assuming negligible air resistance?

Accepted Answer

t = v0/g

Answer

t = g/v0

Answer

t = v0*g

Answer

t = 2 * v0/g

Question 18

A projectile is launched at an angle of 60 degrees with an initial velocity of 10 m/s. What is the vertical component of its initial velocity?

Accepted Answer

8.66 m/s

Answer

5 m/s

Answer

10 m/s

Answer

17.32 m/s

Question 19

What is the fundamental difference between a scalar and a vector quantity?

Accepted Answer

A scalar has magnitude but no direction, while a vector has both.

Answer

A vector has magnitude but no direction, while a scalar has both.

Answer

Both scalars and vectors have magnitude and direction.

Answer

Neither scalars nor vectors have magnitude or direction.

Question 20

Which of the following is not a component of a projectile's velocity?

Accepted Answer

Vertical acceleration due to gravity

Answer

Horizontal velocity

Answer

Vertical velocity

Answer

Horizontal acceleration

Question 21

Which of the following factors does not affect the range of a projectile?

Accepted Answer

Height of the projectile

Answer

Initial velocity

Answer

Angle of projection

Answer

Gravitational acceleration

Question 22

A projectile is launched at an angle of 45° to the horizontal. What is the ratio of its horizontal range to its maximum height?

Accepted Answer

2:1

Answer

1:1

Answer

4:1

Answer

8:1

Question 23

A projectile is launched with a velocity of (10, 15) m/s. What is the angle of projection?

Accepted Answer

45°

Answer

30°

Answer

60°

Answer

90°

Question 24

Which of the following is a scalar quantity?

Accepted Answer

Temperature

Answer

Velocity

Answer

Acceleration

Answer

Force

Question 25

A projectile is launched with an initial velocity of 10 m/s at an angle of 30° above the horizontal. What is the horizontal range of the projectile?

Accepted Answer

8.66 m

Answer

2.5 m

Answer

5.0 m

Answer

10.0 m

Question 26

A boat travels 5 km north and then 3 km east. What is the magnitude of the resultant displacement?

Accepted Answer

5.83 km

Answer

8 km

Answer

6 km

Answer

4 km

Question 27

A car travels at a constant velocity of 20 m/s for 5 seconds and then accelerates at a constant rate of 5 m/s² for 3 seconds. What is the total displacement of the car after 8 seconds?

Accepted Answer

170 meters

Answer

190 meters

Answer

150 meters

Answer

210 meters

Question 28

A car travels at a constant velocity of 20 m/s. What is its acceleration?

Accepted Answer

0 m/s²

Answer

-20 m/s²

Answer

10 m/s²

Answer

20 m/s²

Question 29

A ball is thrown vertically upwards with a velocity of 15 m/s. Calculate its velocity after 2 seconds.

Accepted Answer

-5 m/s

Answer

15 m/s

Answer

5 m/s

Answer

25 m/s

Question 30

A projectile is launched at an angle of 30 degrees to the horizontal with a velocity of 20 m/s. What is the vertical component of its velocity?

Accepted Answer

17.32 m/s

Answer

15 m/s

Answer

25 m/s

Answer

20 m/s

Question 31

A projectile is launched with an initial velocity of (10, 20) m/s. What is the horizontal acceleration acting on it?

Accepted Answer

0 m/s²

Answer

20 m/s²

Answer

10 m/s²

Answer

9.8 m/s²

Question 32

A ball is thrown at a 45-degree angle with a velocity of 15 m/s. What is the maximum height reached by the ball?

Accepted Answer

6.86 m

Answer

10 m

Answer

5 m

Answer

15 m

Question 33

A ball is thrown horizontally from a height of 10 m at an initial velocity of 15 m/s. Calculate the horizontal displacement of the ball before it hits the ground.

Accepted Answer

27.4 m

Answer

15 m

Answer

30 m

Answer

54.8 m

Question 34

A projectile is launched at an angle of 30° to the horizontal with an initial velocity of 20 m/s. Determine the horizontal component of its initial velocity.

Accepted Answer

17.3 m/s

Answer

28.3 m/s

Answer

20 m/s

Answer

10 m/s

Question 35

Two vectors, A and B, have magnitudes of 5 m and 3 m, respectively. The angle between them is 60°. Determine the magnitude of the resultant vector.

Accepted Answer

6.5 m

Answer

2 m

Answer

8 m

Answer

4 m

Question 36

Which of the following physical quantities is a vector?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Question 37

A car travels along a circular path of radius 50 m with a constant speed of 20 m/s. Determine the centripetal acceleration of the car.

Accepted Answer

8 m/s²

Answer

5 m/s²

Answer

10 m/s²

Answer

16 m/s²

Question 38

A ball is thrown vertically upwards. At the highest point of its trajectory, what is true about its motion?

Accepted Answer

Its velocity is zero, and its acceleration is due to gravity.

Answer

Its velocity is maximum, and its acceleration is zero.

Answer

Its kinetic energy is maximum, and its potential energy is minimum.

Answer

Its displacement is maximum, and its acceleration is zero.

Question 39

A car travels 100 m north and then 50 m east. What is the magnitude of the car's net displacement?

Accepted Answer

112 m

Answer

50 m

Answer

200 m

Answer

150 m

Question 40

A particle moves with a constant velocity of 5 m/s in the x-direction and 3 m/s in the y-direction. What is the speed of the particle?

Accepted Answer

5.8 m/s

Answer

3 m/s

Answer

5 m/s

Answer

8 m/s

Question 41

A ball is dropped from a height of 50 m. What is its velocity just before it hits the ground?

Accepted Answer

31.3 m/s

Answer

15.6 m/s

Answer

100 m/s

Answer

50 m/s

Question 42

A car travels at a constant speed of 60 km/h for 2 hours and then at 80 km/h for 1 hour. What is its average speed?

Accepted Answer

68 km/h

Answer

60 km/h

Answer

80 km/h

Answer

70 km/h