Master Kinematics in Two Dimensions: Interactive Quizzes and Practice

Question 1

A ball is launched with an initial velocity of 15 m/s at an angle of 45° above the horizontal. What is the acceleration of the ball at the peak of its trajectory?

Accepted Answer

0 m/s²

Answer

9.8 m/s² downward

Answer

15 m/s² at 45°

Answer

15 m/s² upward

Question 2

A projectile is launched with an initial velocity of (10 m/s, 15 m/s). What is the magnitude of the projectile's initial velocity?

Accepted Answer

18.03 m/s

Answer

5 m/s

Answer

10 m/s

Answer

25 m/s

Question 3

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

Accepted Answer

Speed

Answer

Magnitude

Answer

Direction

Answer

Sense

Question 4

A car travels 50 km north and then 30 km east. Calculate the car's net displacement.

Accepted Answer

58.3 km

Answer

60 km

Answer

80 km

Answer

100 km

Question 5

A particle moves with an acceleration of (2 m/s², -3 m/s²). Assuming it starts from rest, calculate the particle's velocity after 5 seconds.

Accepted Answer

(10 m/s, -15 m/s)

Answer

(10 m/s, 15 m/s)

Answer

(2 m/s, -3 m/s)

Answer

(2 m/s, 3 m/s)

Question 6

A ball is thrown horizontally from a height of 10 meters with an initial velocity of 10 m/s. What is the vertical component of its velocity just before it hits the ground?

Accepted Answer

14.1 m/s

Answer

0 m/s

Answer

10 m/s

Answer

20 m/s

Question 7

Which of the following physical quantities is a vector?

Accepted Answer

Acceleration

Answer

Speed

Answer

Mass

Answer

Temperature

Question 8

A ball is dropped from a height of 5 meters. What is its velocity just before it hits the ground?

Accepted Answer

14.1 m/s

Answer

5 m/s

Answer

10 m/s

Answer

20 m/s

Question 9

Which of the following equations correctly relates displacement, velocity, and acceleration?

Accepted Answer

s = ut + (1/2)at^2

Answer

v = u + at

Answer

a = v/t

Answer

s = v + at

Question 10

A car travels 20 meters due north and then 30 meters due east. Calculate the car's displacement.

Accepted Answer

36.06 meters at 56.3° north of east

Answer

10 meters north-east

Answer

20 meters north-east

Answer

50 meters north-east

Question 11

A particle has a velocity of (3i + 4j) m/s. Calculate its speed.

Accepted Answer

7 m/s

Answer

3 m/s

Answer

4 m/s

Answer

5 m/s

Question 12

Identify the non-vector quantity from the following: Displacement, Speed, Acceleration, Mass.

Accepted Answer

Mass

Answer

Displacement

Answer

Speed

Answer

Acceleration

Question 13

A ball is launched with an initial velocity of 10 m/s at an angle of 30° above the horizontal. What is the vertical component of the ball's velocity?

Accepted Answer

8.66 m/s

Answer

5 m/s

Answer

10 m/s

Answer

17.32 m/s

Question 14

A car is moving at a speed of 25 m/s when the brakes are applied. The car decelerates at a rate of 5 m/s². What is the distance travelled by the car before it comes to a stop?

Accepted Answer

125 m

Answer

50 m

Answer

250 m

Answer

500 m

Question 15

A particle undergoes acceleration. Which of the following graphs represents the particle's velocity-time graph for uniform acceleration?

Accepted Answer

A straight line with a positive slope

Answer

A straight line with a negative slope

Answer

A parabola

Answer

A circle

Question 16

A particle moves in a circle of radius 5 m with a period of 3 s. What is the angular velocity of the particle?

Accepted Answer

2.0 rad/s

Answer

1.0 rad/s

Answer

3.0 rad/s

Answer

4.0 rad/s

Question 17

Which of the following is NOT a unit vector?

Accepted Answer

(2, 4)

Answer

(1, 1)

Answer

(0.5, 0.8)

Answer

(0, 1)

Question 18

A projectile is launched at an angle of 45° above the horizontal with an initial velocity of 15 m/s. What is the horizontal range of the projectile?

Accepted Answer

30 m

Answer

15 m

Answer

45 m

Answer

60 m

Question 19

An object moves in a circular path. Which of the following best describes its motion?

Accepted Answer

Uniform speed and constant centripetal acceleration

Answer

Uniform speed and constant acceleration

Answer

Uniform speed and constant velocity

Answer

Non-uniform speed and constant acceleration

Question 20

A projectile is launched with an initial velocity of 10 m/s at an angle of 60° to the horizontal. What is its initial horizontal velocity?

Accepted Answer

8.7 m/s

Answer

5 m/s

Answer

10 m/s

Answer

17.3 m/s

Question 21

A vector has a magnitude of 10 units and an angle of 30° above the horizontal. What is its vertical component?

Accepted Answer

8.7 units

Answer

5 units

Answer

10 units

Answer

17.3 units

Question 22

Which of the following is the equation of motion that describes displacement as a function of initial velocity, acceleration, and time?

Accepted Answer

s = ut + 1/2 at^2

Answer

v = u + at

Answer

a = v/t

Answer

v^2 = u^2 + 2as

Question 23

Which of the following is NOT a vector quantity?

Accepted Answer

Speed

Answer

Displacement

Answer

Force

Answer

Acceleration

Question 24

A satellite is moving in a circular orbit around the Earth. What is the force that is causing it to move in a circle?

Accepted Answer

Gravitational force

Answer

Magnetic force

Answer

Electrostatic force

Answer

Frictional force

Question 25

A car is travelling at a constant speed of 15 m/s. What is the acceleration of the car?

Accepted Answer

0 m/s^2

Answer

5 m/s^2

Answer

15 m/s^2

Answer

30 m/s^2

Question 26

A projectile is launched with an initial speed of 15 m/s at an angle of 30° above the horizontal. What is the maximum height reached by the projectile?

Accepted Answer

11.8 m

Answer

5.9 m

Answer

17.7 m

Answer

23.6 m

Question 27

Which of the following is a scalar quantity?

Accepted Answer

Speed

Answer

Velocity

Answer

Acceleration

Answer

Displacement

Question 28

Which of the following is a unit vector?

Accepted Answer

0.8i + 0.6j

Answer

2i + 3j

Answer

i - 2j

Answer

3i

Question 29

A vector has a magnitude of 10 and an angle of 30° to the positive x-axis. What are the components of this vector?

Accepted Answer

(8.66, 5)

Answer

(5, 8.66)

Answer

(10, 30)

Answer

(30, 10)

Question 30

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

Accepted Answer

8.66 m/s

Answer

5 m/s

Answer

10 m/s

Answer

17.32 m/s

Question 31

A particle moves in a straight line with constant velocity. Which of the following graphs best represents its velocity-time graph?

Accepted Answer

A horizontal line

Answer

A sloping line

Answer

A parabola

Answer

A circle

Question 32

A projectile is launched at an angle of 45 degrees with an initial speed of 20 m/s. What is its horizontal range?

Accepted Answer

28.3 m

Answer

14.1 m

Answer

20 m

Answer

40 m

Question 33

Which of the following is the SI unit of acceleration?

Accepted Answer

m/s^2

Answer

m

Answer

m/s

Answer

m^2/s

Question 34

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

Accepted Answer

v = √(2gh)

Answer

v = gh

Answer

v = (1/2)gh

Answer

v = (1/4)gh

Question 35

Which of the following is the equation for centripetal force?

Accepted Answer

F = mv^2 / r

Answer

F = ma

Answer

F = mg

Answer

F = kx

Question 36

A car is moving in a circular path of radius 50 m. If its speed is 20 m/s, what is its centripetal acceleration?

Accepted Answer

a = v^2 / r

Answer

a = v * r

Answer

a = (1/2)v^2 / r

Answer

a = (1/4)v^2 / r

Question 37

A car travels around a circular track of radius 50 m with a constant speed of 20 m/s. What is the acceleration of the car?

Accepted Answer

8.0 m/s² towards the center

Answer

0 m/s²

Answer

20 m/s² towards the center

Answer

8.0 m/s² away from the center

Question 38

A car travels at a constant speed of 30 m/s for 2.0 hours. What is the distance traveled by the car?

Accepted Answer

72 km

Answer

36 km

Answer

108 km

Question 39

A particle moves with a displacement of 20 m in the positive x-direction and 30 m in the negative y-direction. What is the magnitude of the particle's displacement?

Accepted Answer

36.0 m

Answer

50.0 m

Answer

10.0 m

Question 40

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

Accepted Answer

0 m/s²

Answer

5 m/s²

Answer

10 m/s²

Answer

-5 m/s²

Question 41

A car travels at a constant speed of 100 km/h for 2 hours. Calculate the distance covered.

Accepted Answer

200 km

Answer

300 km

Answer

400 km

Answer

100 km

Question 42

A particle has a velocity of 10 m/s in the positive x-direction and -5 m/s in the y-direction. Calculate the magnitude of its velocity.

Accepted Answer

11.2 m/s

Answer

20 m/s

Answer

5 m/s

Answer

15 m/s

Question 43

A car travels 100 km due north, then 240 km due east. What is the car's approximate straight-line distance from its starting point?

Accepted Answer

260 km

Answer

200 km

Answer

340 km

Answer

170 km

Question 44

A car drives at a constant 20 m/s speed around a circular track with a 50 m radius. What is the car's acceleration?

Accepted Answer

8 m/s² towards the centre of the track

Answer

4 m/s² away from the centre of the track

Answer

0 m/s²

Answer

10 m/s² towards the centre of the track

Question 45

A projectile is launched vertically upwards with an initial velocity of 20 m/s. Neglecting air resistance, what is the projectile's maximum height?

Accepted Answer

20.4 m

Answer

10.2 m

Answer

30.6 m

Answer

40.8 m

Question 46

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

Accepted Answer

10 m/s

Answer

15 m/s

Answer

0 m/s

Answer

20 m/s

Question 47

An object moving in a circle with a constant speed experiences:

Accepted Answer

Centripetal acceleration

Answer

Constant velocity

Answer

Zero acceleration

Answer

Tangential acceleration only

Question 48

A boat crosses a river with a velocity of 4 m/s relative to the water. The river current has a velocity of 3 m/s. What is the resultant velocity of the boat relative to an observer on the bank if the boat heads directly across the river?

Accepted Answer

5 m/s

Answer

1 m/s

Answer

7 m/s

Answer

4 m/s

Question 49

What is the angle of projection for a projectile to achieve maximum range on a horizontal plane?

Accepted Answer

45°

Answer

30°

Answer

60°

Answer

90°

Question 50

A stone is tied to a string and swung in a horizontal circle at a constant speed. If the string suddenly breaks, what path will the stone follow?

Accepted Answer

It will move in a straight line tangential to the circle at the point of release.

Answer

It will spiral inwards towards the center of the circle.

Answer

It will continue to move in a circle.

Question 51

Two balls are thrown vertically upwards with the same initial speed but at different times. Neglecting air resistance, what is their relative velocity while both are in the air?

Accepted Answer

Zero

Answer

Dependent on the time interval between their throws

Answer

Constantly changing

Answer

Equal to their initial speed

Question 52

A ball is thrown vertically upwards and returns to its starting point. Which statement best describes its displacement and distance travelled?

Accepted Answer

Displacement is zero, distance travelled is twice the maximum height.

Answer

Displacement and distance travelled are both zero.

Answer

Displacement and distance travelled are both twice the maximum height.