Motion in Two Dimensions: Master Kinematics and Dynamics

Question 1

A particle moves with a velocity of 10 m/s east and a velocity of 5 m/s north. What is its resultant velocity?

Accepted Answer

11.2 m/s north-east

Answer

10 m/s north-east

Answer

12.5 m/s north-east

Answer

15 m/s north-east

Question 2

A ball is thrown vertically upward with a velocity of 20 m/s. What is its velocity after 3 seconds?

Accepted Answer

-10 m/s

Answer

0 m/s

Answer

-5 m/s

Answer

-20 m/s

Question 3

A car travels 50 kilometers in 1 hour. What is its average acceleration if it starts from rest?

Accepted Answer

0.28 m/s²

Answer

0.14 m/s²

Answer

0.42 m/s²

Answer

0.56 m/s²

Question 4

A car accelerates uniformly from rest to a speed of 20 m/s in 5 seconds. What is its acceleration?

Accepted Answer

8 m/s²

Answer

4 m/s²

Answer

12 m/s²

Answer

16 m/s²

Question 5

A ball is dropped from a height of 10 m. What is its velocity just before it hits the ground?

Accepted Answer

28 m/s

Answer

14 m/s

Answer

42 m/s

Answer

56 m/s

Question 6

A particle moves with a displacement of 5 m east and 3 m north. What is the magnitude of its displacement?

Accepted Answer

6 m

Answer

2 m

Answer

4 m

Answer

8 m

Question 7

A block is placed on a frictionless inclined plane with an angle of inclination of 30°. What is the acceleration of the block down the plane?

Accepted Answer

14.7 m/s²

Answer

5 m/s²

Answer

9.8 m/s²

Answer

19.6 m/s²

Question 8

A car travels at a speed of 20 meters per second around a curve with a radius of 100 meters. What is the car's acceleration?

Accepted Answer

4 m/s²

Answer

0 m/s²

Answer

20 m/s²

Answer

100 m/s²

Question 9

A particle moves in a straight line with a constant acceleration. Which graph represents the relationship between displacement and time?

Accepted Answer

Straight line with positive gradient

Answer

Straight line with negative gradient

Answer

Quadratic curve

Answer

Exponential curve

Question 10

A projectile is launched at a velocity of 10 m/s at an angle of 30° to the horizontal. What is its horizontal range?

Accepted Answer

13 m

Answer

6.5 m

Answer

10 m

Answer

16 m

Question 11

A particle moves in uniform circular motion with a radius of 5 m and a period of 10 s. What is its angular velocity?

Accepted Answer

0.62 rad/s

Answer

0.31 rad/s

Answer

1.57 rad/s

Answer

3.14 rad/s

Question 12

Which of the following is a vector quantity?

Accepted Answer

Velocity

Answer

Distance

Answer

Temperature

Answer

Speed

Question 13

What is the unit for angular acceleration?

Accepted Answer

radians per second squared (rad/s²)

Answer

radians per second (rad/s)

Answer

meters per second squared (m/s²)

Answer

meters per second (m/s)

Question 14

Which factor does NOT affect the period of a pendulum?

Accepted Answer

Amplitude of swing

Answer

Length of the pendulum

Answer

Mass of the pendulum bob

Answer

Local gravitational field strength

Question 15

What is the acceleration due to gravity (g) on Earth?

Accepted Answer

g = 9.8 m/s²

Answer

g = 10 m/s²

Answer

g = 9.8 m/s

Answer

g = 10 m/s

Question 16

Which of the following is a vector quantity that describes both the magnitude and direction of a physical property?

Accepted Answer

Velocity

Answer

Mass

Answer

Speed

Answer

Temperature

Question 17

A particle moves with a constant velocity of 5 m/s in the northward direction. What is its displacement after 10 seconds?

Accepted Answer

10 m north

Answer

5 m north

Answer

15 m north

Answer

20 m north

Question 18

What is the International System of Units (SI) unit of acceleration?

Accepted Answer

m/s^2

Answer

m/s

Answer

km/h

Answer

mph

Question 19

Which of the following equations is used to describe projectile motion?

Accepted Answer

s = ut + 1/2 at^2

Answer

v^2 = u^2 + 2as

Answer

a = g

Answer

F = ma

Question 20

What is the direction of the acceleration due to gravity on Earth?

Accepted Answer

Downwards

Answer

Upwards

Answer

Horizontally

Answer

Depends on the object's motion

Question 21

Which of the following is NOT a vector quantity?

Accepted Answer

Speed

Answer

Displacement

Answer

Velocity

Answer

Acceleration

Question 22

A ball is thrown horizontally with a velocity of 10 m/s. What is the vertical component of its velocity after 1 second?

Accepted Answer

0 m/s

Answer

5 m/s

Answer

10 m/s

Answer

15 m/s

Question 23

A particle moves in a circular path with a constant speed. What is the direction of its acceleration?

Accepted Answer

Towards the center of the circle

Answer

Away from the center of the circle

Answer

Tangential to the circle

Answer

Zero

Question 24

What is the period of oscillation of a pendulum?

Accepted Answer

The time taken for one complete oscillation

Answer

The distance travelled by the pendulum in one second

Answer

The maximum displacement of the pendulum from its equilibrium position

Answer

The frequency of the pendulum's motion

Question 25

A satellite orbits Earth at a constant speed of 7 km/s. Determine its centripetal acceleration.

Accepted Answer

11 km/s²

Answer

13 km/s²

Answer

9 km/s²

Answer

15 km/s²

Question 26

A car travels 20 kilometers north and then 30 kilometers east. Calculate the magnitude of the car's displacement.

Accepted Answer

36.06 kilometers

Answer

25.00 kilometers

Answer

45.00 kilometers

Answer

50.00 kilometers

Question 27

A boat travels 10 kilometers upstream and then returns downstream in the same amount of time. If the speed of the boat in still water is 15 kilometers per hour and the speed of the current is 5 kilometers per hour, calculate the average speed of the boat.

Accepted Answer

13.33 kilometers per hour

Answer

20.00 kilometers per hour

Answer

10.00 kilometers per hour

Answer

15.00 kilometers per hour

Question 28

Which of the following describes the motion of an object with constant speed and direction in two dimensions?

Accepted Answer

Uniform velocity

Answer

Uniform acceleration

Answer

Non-uniform acceleration

Answer

Non-uniform velocity

Question 29

Which of the following is the equation of motion that relates velocity, acceleration, and time?

Accepted Answer

v = u + at

Answer

a = v/t

Answer

s = v^2 - u^2 / 2a

Answer

s = ut + 1/2at^2

Question 30

Which of the following is the SI unit of acceleration?

Accepted Answer

Metres per second squared (m/s^2)

Answer

Metres per second (m/s)

Answer

Kilometres per hour (km/h)

Answer

Newtons (N)

Question 31

Which of the following is a scalar quantity?

Accepted Answer

Speed

Answer

Acceleration

Answer

Displacement

Answer

Velocity

Question 32

A particle moves in a circular path with a circumference of 10π m at a constant speed of 5 m/s. What is its period of rotation?

Accepted Answer

6.28 s

Answer

3.14 s

Answer

12.57 s

Answer

25.13 s

Question 33

A projectile is launched horizontally from a cliff with an initial velocity of 20 m/s. If the cliff is 50 meters high, what is the approximate time it takes for the projectile to hit the ground?

Accepted Answer

3.19 seconds

Answer

4.52 seconds

Answer

2.55 seconds

Answer

1.02 seconds

Question 34

A car travels 10 kilometers east and then 5 kilometers north. What is the magnitude of the car's displacement?

Accepted Answer

11.18 kilometers

Answer

15 kilometers

Answer

10 kilometers

Answer

5 kilometers

Question 35

A ball is thrown vertically upwards with an initial velocity of 15 m/s. What is its approximate velocity after 2 seconds?

Accepted Answer

-5 m/s

Answer

25 m/s

Answer

15 m/s

Answer

5 m/s

Question 36

An object is moving in a circular path with a constant speed. Which of the following statements is true about its acceleration?

Accepted Answer

The acceleration is directed towards the center of the circle.

Answer

The acceleration is directed tangentially to the circle.

Answer

The acceleration is zero.

Question 37

A particle moves with a constant velocity of 5 m/s in the positive x-direction. What is the particle's acceleration?

Accepted Answer

0 m/s²

Answer

10 m/s²

Answer

5 m/s²

Answer

-5 m/s²

Question 38

Two forces, one of 10 N and the other of 15 N, act on an object in opposite directions. What is the net force acting on the object?

Accepted Answer

5 N

Answer

15 N

Answer

25 N

Answer

10 N

Question 39

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

Accepted Answer

17.32 m/s

Answer

10 m/s

Answer

20 m/s

Answer

34.64 m/s

Question 40

A ball is thrown horizontally from a cliff with a velocity of 10 m/s. Neglecting air resistance, which of the following statements is true about the ball's horizontal velocity?

Accepted Answer

The horizontal velocity remains constant.

Answer

The horizontal velocity changes direction.

Answer

The horizontal velocity decreases.

Answer

The horizontal velocity increases.

Question 41

A 5 kg object is moving at a constant velocity of 3 m/s. What is the net force acting on the object?

Accepted Answer

0 N

Answer

5 N

Answer

3 N

Answer

15 N

Question 42

A car travels 5 km east and then 12 km north. What is the magnitude of the car's displacement?

Accepted Answer

13 km

Answer

17 km

Answer

7 km

Answer

5 km

Question 43

A projectile is launched with an initial velocity of 20 m/s at an angle of 30° above the horizontal. What is the vertical component of the initial velocity?

Accepted Answer

10 m/s

Answer

5.77 m/s

Answer

20 m/s

Answer

17.32 m/s

Question 44

A particle moves in a circle with a constant speed. Which of the following statements is true about the particle's acceleration?

Accepted Answer

The acceleration is directed towards the center of the circle.

Answer

The acceleration is constant in magnitude and direction.

Answer

The acceleration is zero.

Question 45

A ball is thrown vertically upwards with an initial velocity of 15 m/s. What is the maximum height reached by the ball?

Accepted Answer

11.48 m

Answer

7.5 m

Answer

22.96 m

Answer

30 m

Question 46

A car is traveling at a constant speed of 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

4 m/s²

Answer

16 m/s²

Question 47

Two forces, 10 N and 15 N, act on an object at an angle of 60° to each other. What is the magnitude of the resultant force?

Accepted Answer

21.8 N

Answer

5 N

Answer

25 N

Answer

18.0 N

Question 48

A projectile is launched horizontally from a cliff. Which of the following statements is true about the projectile's motion?

Accepted Answer

The horizontal velocity remains constant throughout the motion.

Answer

The projectile's path is a straight line.

Answer

The vertical velocity remains constant throughout the motion.

Question 49

A car is traveling around a circular track at a constant speed. The car's velocity is:

Accepted Answer

Changing direction.

Answer

Increasing.

Answer

Zero.

Answer

Constant.

Question 50

A ball is thrown at an angle of 45° to the horizontal. Neglecting air resistance, the ball's range (horizontal distance traveled) is maximum when:

Accepted Answer

The initial velocity is maximum.

Answer

The launch angle is 30°.

Answer

The launch angle is 60°.

Answer

The ball is thrown vertically upwards.