Motion in Two Dimensions: Master the Concepts with Engaging Quizzes

Question 1

A ball is thrown horizontally with a velocity of 10 m/s. What will its horizontal velocity be after 2 seconds?

Accepted Answer

10 m/s

Answer

0 m/s

Answer

20 m/s

Answer

30 m/s

Question 2

A boat travels east at 5 m/s in a current flowing north at 3 m/s. Determine the magnitude of the boat's overall velocity.

Accepted Answer

8 m/s

Answer

2 m/s

Answer

5 m/s

Answer

6 m/s

Question 3

A particle undergoes constant acceleration of 5 m/s² and has an initial velocity of 10 m/s. Calculate its displacement after 4 seconds.

Accepted Answer

62 m

Answer

22 m

Answer

42 m

Answer

82 m

Question 4

A particle moves in a circular path at constant speed. Which of the following statements about its acceleration is true?

Accepted Answer

Its acceleration is always perpendicular to its velocity.

Answer

Its acceleration is always zero.

Answer

Its acceleration is always parallel to its velocity.

Answer

Its acceleration is always in the same direction as its velocity.

Question 5

A ball is thrown vertically upward at 10 m/s. What is its velocity at the highest point of its trajectory?

Accepted Answer

0 m/s

Answer

5 m/s

Answer

10 m/s

Answer

15 m/s

Question 6

The acceleration due to gravity on Earth is approximately:

Accepted Answer

9.8 m/s²

Answer

10 m/s²

Answer

11.2 m/s²

Answer

12.6 m/s²

Question 7

Which of the following is a scalar quantity?

Accepted Answer

Temperature

Answer

Velocity

Answer

Acceleration

Answer

Displacement

Question 8

Which of the following is NOT a factor affecting the acceleration of a freely falling object?

Accepted Answer

Shape

Answer

Mass

Answer

Air resistance

Answer

Gravity

Question 9

A car moves in a circular path of radius 50.0 m with a constant speed of 10.0 m/s. What is its centripetal acceleration?

Accepted Answer

5.00 m/s²

Answer

0.00 m/s²

Answer

2.00 m/s²

Answer

10.0 m/s²

Question 10

A car is traveling at a constant speed of 60.0 mph. What is its velocity in m/s?

Accepted Answer

26.8 m/s

Answer

10.0 m/s

Answer

20.0 m/s

Answer

50.0 m/s

Question 11

A satellite orbits the Earth in a circular path. What force keeps it in orbit?

Accepted Answer

Gravitational force

Answer

Centripetal force

Answer

Frictional force

Answer

Tension force

Question 12

A projectile is launched at an angle of 45.0° with the horizontal. At what point in its trajectory does it reach its maximum height?

Accepted Answer

When it is at its highest point

Answer

When it is halfway to its maximum height

Answer

When it reaches its maximum speed

Answer

When it reaches its maximum acceleration

Question 13

Which of the following is NOT a component of a vector?

Accepted Answer

Speed

Answer

Magnitude

Answer

Direction

Answer

Angle between displacement and x-axis

Question 14

A projectile is launched at an angle of 45 degrees with an initial velocity of 10 m/s. What is its horizontal velocity component?

Accepted Answer

7.07 m/s

Answer

5 m/s

Answer

10 m/s

Answer

14.14 m/s

Question 15

Two objects with different masses are dropped from the same height at the same time. Which object will reach the ground first, assuming no air resistance?

Accepted Answer

Both objects simultaneously

Answer

Object with greater mass

Answer

Object with smaller mass

Answer

Depends on the shape of the objects

Question 16

A car travels at a constant speed of 20 m/s in an easterly direction. Express the magnitude of its velocity as a vector.

Accepted Answer

20 m/s east

Answer

20 m/s

Answer

40 m/s

Answer

40 m/s east

Question 17

A ball is thrown at an angle of 30° above the horizontal with a speed of 10 m/s. Determine the vertical component of its velocity.

Accepted Answer

8.66 m/s

Answer

5 m/s

Answer

10 m/s

Answer

17.32 m/s

Question 18

Define the period of a pendulum.

Accepted Answer

The time taken for one complete oscillation

Answer

The time taken for two complete oscillations

Answer

The time taken from one extreme to the other

Answer

The time taken from the equilibrium position to one extreme

Question 19

Identify an example of projectile motion.

Accepted Answer

A thrown ball

Answer

A car driving at constant speed

Answer

A satellite orbiting the Earth

Answer

A person walking on a treadmill

Question 20

A projectile is launched at an angle to the horizontal. Which of the following statements about its motion is true?

Accepted Answer

Its path follows a parabolic trajectory.

Answer

Its velocity components in the horizontal and vertical directions are equal.

Answer

Its vertical component of velocity decreases while its horizontal component remains constant.

Answer

Its acceleration is greatest at the highest point of its trajectory.

Question 21

A vector has a magnitude of 5 units and is directed in the north-east direction. What are the horizontal and vertical components of the vector?

Accepted Answer

(2.5 units, 2.5 units)

Answer

(3.5 units, 3.5 units)

Answer

(4.5 units, 4.5 units)

Answer

(5 units, 5 units)

Question 22

Which of the following is not a condition for relative motion?

Accepted Answer

The objects are at rest relative to one another.

Answer

The objects are moving at different speeds.

Answer

The objects are moving in different directions.

Answer

The objects are accelerating.

Question 23

A ball is projected horizontally from a tower with an initial velocity of 10 m/s. What will be its horizontal velocity 2 seconds after the projection?

Accepted Answer

10 m/s

Answer

20 m/s

Answer

0 m/s

Answer

15 m/s

Question 24

A boat attempts to cross a river with a current flowing at 3 m/s East. The boat's engine propels the boat at 5 m/s North. What is the resultant velocity of the boat?

Accepted Answer

5.83 m/s at 53.1° North of East

Answer

8 m/s

Answer

3.5 m/s

Answer

2 m/s

Question 25

A projectile is launched at an angle of 30° above the horizontal. Neglecting air resistance, what point in its trajectory will the projectile have its minimum speed?

Accepted Answer

At its highest point

Answer

Just before hitting the ground

Answer

The speed is constant throughout the trajectory

Answer

At the launch point

Question 26

A car travels 30 km East and then 40 km North. What is the car's total displacement from its starting point?

Accepted Answer

50 km at 53.1° North of East

Answer

50 km East

Answer

70 km Northeast

Answer

10 km North

Question 27

A satellite orbits the Earth in a circular path with a constant speed. Which of the following statements is true about the satellite's acceleration?

Accepted Answer

The acceleration is directed towards the center of the Earth.

Answer

The acceleration is tangential to the circular path.

Answer

The acceleration is zero.

Question 28

Which of the following correctly relates linear velocity (v) and angular velocity (ω) for an object moving in a circle of radius (r)?

Accepted Answer

v = ωr

Answer

v = ω/r

Answer

v = 2πωr

Answer

v = ω^2r

Question 29

A car travels around a circular track at a constant speed. Which statement about the car's motion is TRUE?

Accepted Answer

The car experiences an acceleration towards the center of the circle.

Answer

The car's velocity is constant.

Answer

The car experiences no acceleration.

Question 30

Two objects, A and B, are moving with constant velocities. Object A travels 5 meters east every second, and object B travels 10 meters north every second. What is the magnitude of the relative velocity of object A with respect to object B?

Accepted Answer

11.2 m/s

Answer

5 m/s

Answer

10 m/s

Question 31

A projectile is launched at an angle of 30 degrees to the horizontal. What is TRUE about its motion at the highest point of its trajectory?

Accepted Answer

The projectile's vertical velocity is zero.

Answer

The projectile's acceleration is zero.

Answer

The projectile's speed is zero.

Answer

The projectile's horizontal velocity is zero.

Question 32

Two boats are moving on a lake. Boat A travels 5 meters east every second, and boat B travels 10 meters north every second. What is the direction of the relative velocity of boat A with respect to boat B?

Accepted Answer

South-east

Answer

North-west

Answer

North-east

Answer

South-west

Question 33

A helicopter is flying horizontally at a constant velocity. A package is dropped from the helicopter. Ignoring air resistance, what path does the package follow as seen by an observer on the ground?

Accepted Answer

A parabola

Answer

A circle

Answer

An ellipse

Answer

A straight line

Question 34

A satellite orbits the Earth in a circular path. What is the direction of the satellite's acceleration?

Accepted Answer

Towards the center of the Earth

Answer

Opposite to the direction of motion

Answer

Away from the center of the Earth

Answer

Tangential to the orbit

Question 35

A train travels east at 20 meters per second. A person walks towards the back of the train at 2 meters per second. What is the person's velocity relative to the ground?

Accepted Answer

18 m/s east

Answer

2 m/s west

Answer

22 m/s east

Answer

20 m/s west

Question 36

A ball is thrown horizontally from a cliff with an initial velocity of 10 m/s. Ignoring air resistance, what is the magnitude of its horizontal velocity after 2 seconds?

Accepted Answer

10 m/s

Answer

15 m/s

Answer

0 m/s

Question 37

A boat travels 4 kilometers east and then 3 kilometers north. What is the magnitude of its resultant displacement?

Accepted Answer

5 km

Answer

7 km

Answer

1 km

Question 38

An object moves in a circle at a constant speed. Which statement about its motion is TRUE?

Accepted Answer

The object's velocity is constantly changing.

Answer

The object is moving with constant velocity.

Answer

The object's acceleration is constant.

Answer

The object is not accelerating.

Question 39

A ball is thrown at an angle of 30 degrees above the horizontal. At what point in its trajectory will the vertical component of its velocity be zero?

Accepted Answer

At the highest point of its trajectory

Answer

At the end of its trajectory

Answer

At the beginning of its trajectory

Question 40

Two cars approach each other on a straight road. Car A is traveling at 20 m/s east and Car B is traveling at 30 m/s west. What is the velocity of Car A relative to Car B?

Accepted Answer

50 m/s east

Answer

30 m/s west

Answer

10 m/s west

Answer

20 m/s east

Question 41

A projectile is launched with an initial velocity of 50 m/s at an angle of 60 degrees above the horizontal. What is the magnitude of the vertical component of its initial velocity?

Accepted Answer

43.3 m/s

Answer

35.4 m/s

Answer

25 m/s

Answer

50 m/s

Question 42

An object is moving in uniform circular motion with a radius of 2 meters and a period of 4 seconds. What is the magnitude of its centripetal acceleration?

Accepted Answer

π²/2 m/s²

Answer

π/2 m/s²

Answer

2π² m/s²

Answer

4π² m/s²

Question 43

A plane flies north at 100 km/h while a wind blows east at 50 km/h. What is the magnitude of the plane's velocity relative to the ground?

Accepted Answer

111.8 km/h

Answer

150 km/h

Answer

50 km/h

Answer

100 km/h

Question 44

Which of the following is NOT a factor affecting the horizontal range of a projectile launched at an angle?

Accepted Answer

Mass of the projectile

Answer

Acceleration due to gravity

Answer

Launch angle

Answer

Initial velocity

Question 45

A car traveling at a constant speed takes 10 seconds to complete a full circle on a circular track with a radius of 50 meters. What is the magnitude of its tangential velocity?

Accepted Answer

10π m/s

Answer

20π m/s

Answer

50π m/s

Answer

5π m/s

Question 46

A projectile is launched horizontally from a cliff. Which of the following statements is TRUE about its motion?

Accepted Answer

The horizontal velocity remains constant throughout the flight.

Answer

The vertical velocity remains constant throughout the flight.

Answer

The projectile's path is a straight line.

Question 47

A car is traveling at a constant speed around a circular track. Which of the following is TRUE about the car's acceleration?

Accepted Answer

The car experiences a centripetal acceleration towards the center of the circle.

Answer

The car experiences a tangential acceleration in the direction of motion.

Answer

The car's acceleration is zero because its speed is constant.

Question 48

Two objects, A and B, are moving towards each other with velocities of 10 m/s and 5 m/s respectively. What is the relative velocity of object A with respect to object B?

Accepted Answer

15 m/s

Answer

10 m/s

Answer

20 m/s

Answer

5 m/s

Question 49

A ball is thrown vertically upwards with an initial velocity of 20 m/s. What is the maximum height reached by the ball? (Assume g = 10 m/s²)

Accepted Answer

20 m

Answer

40 m

Answer

5 m

Answer

10 m

Question 50

A car is traveling at 20 m/s around a circular track with a radius of 50 m. What is the car's centripetal acceleration?

Accepted Answer

8 m/s²

Answer

2 m/s²

Answer

16 m/s²

Answer

4 m/s²

Question 51

A boat is traveling across a river flowing at 5 m/s. If the boat's speed relative to the water is 10 m/s, what is the boat's resultant velocity?

Accepted Answer

11.18 m/s (approximately)

Answer

5 m/s

Answer

15 m/s

Answer

10 m/s

Question 52

A projectile is launched at an angle of 30 degrees to the horizontal with an initial velocity of 40 m/s. Which of the following is TRUE about the projectile's horizontal velocity?

Accepted Answer

It remains constant throughout the flight.

Answer

It decreases throughout the flight.

Answer

It varies sinusoidally throughout the flight.

Answer

It increases throughout the flight.

Question 53

A satellite orbits the Earth at a constant speed. What is the direction of the satellite's acceleration?

Accepted Answer

Towards the center of the Earth.

Answer

Opposite to the direction of its motion.

Answer

There is no acceleration because the speed is constant.

Answer

In the direction of its motion.

Question 54

Two cars are traveling towards each other on a straight road. Car A is traveling at 20 m/s and car B is traveling at 30 m/s. What is the relative speed of car A with respect to car B?

Accepted Answer

50 m/s

Answer

10 m/s

Answer

20 m/s

Answer

30 m/s

Question 55

A ball is thrown horizontally from a building 10 m high. If the ball hits the ground 2 seconds later, what is the horizontal distance traveled by the ball? (Assume g = 10 m/s²)

Accepted Answer

20 m

Answer

40 m

Answer

10 m