Kinematics: Master Motion and Forces in Mathematics

Question 1

A projectile is launched vertically upward with a velocity of 20 m/s. What is the time it takes to reach its maximum height?

Accepted Answer

2.5 s

Answer

5 s

Answer

10 s

Answer

15 s

Question 2

A car accelerates uniformly from rest over a distance of 100 m, reaching a final velocity of 20 m/s. What is the car's acceleration?

Accepted Answer

0.2 m/s²

Answer

0.1 m/s²

Answer

0.4 m/s²

Answer

2 m/s²

Question 3

A vector has a magnitude of 10 units and points in a direction 45° north of east. What is the vector's northward component?

Accepted Answer

7.07 units

Answer

5 units

Answer

8.66 units

Answer

10 units

Question 4

A car accelerates uniformly from rest at 2.5 m/s² for 10 seconds. Calculate its final speed.

Accepted Answer

25 m/s

Answer

10 m/s

Answer

50 m/s

Answer

100 m/s

Question 5

What is the SI unit of acceleration?

Accepted Answer

m/s²

Answer

m/s

Answer

km/h

Answer

km/h²

Question 6

What is the resultant of two vectors of equal magnitude but opposite directions?

Accepted Answer

Zero vector

Answer

Addition of the two vectors

Answer

Subtraction of the two vectors

Answer

Multiplication of the two vectors

Question 7

A car moves with a velocity of 10 m/s east and 5 m/s north. Calculate the magnitude of its resultant velocity.

Accepted Answer

15 m/s

Answer

5 m/s

Answer

10 m/s

Answer

25 m/s

Question 8

What is the acceleration of a body moving at a constant velocity?

Accepted Answer

Zero

Answer

Uniform

Answer

Variable

Answer

Non-uniform

Question 9

Identify the vector quantity from the following options:

Accepted Answer

Displacement

Answer

Mass

Answer

Temperature

Answer

Time

Question 10

The acceleration due to gravity on Earth is approximately:

Accepted Answer

9.8 m/s²

Answer

10.2 m/s²

Answer

10 m/s²

Answer

12 m/s²

Question 11

A particle moves along a straight line with a velocity that varies with time given by the equation v = 2t + 5. Calculate the acceleration of the particle.

Accepted Answer

2 m/s²

Answer

5 m/s²

Answer

0 m/s²

Answer

10 m/s²

Question 12

Select the correct unit for acceleration:

Accepted Answer

m/s²

Answer

m/s

Answer

s/m

Answer

s/m²

Question 13

A ball is thrown vertically upwards with an initial velocity of 15 m/s. Determine the velocity of the ball at the highest point of its trajectory.

Accepted Answer

0 m/s

Answer

15 m/s

Answer

30 m/s

Answer

45 m/s

Question 14

Which of the following is the approximate value of the acceleration due to gravity on Earth?

Accepted Answer

9.8 m/s²

Answer

19.6 m/s²

Answer

29.4 m/s²

Answer

39.2 m/s²

Question 15

A car travels a total distance of 100 km in a time span of 2 hours. What is its average speed?

Accepted Answer

50 km/h

Answer

25 km/h

Answer

75 km/h

Answer

100 km/h

Question 16

Which of the following physical quantities is a vector quantity, meaning it possesses both magnitude and direction?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Answer

Time

Question 17

When a particle moves with constant acceleration, which of these statements is always true?

Accepted Answer

Its acceleration is constant.

Answer

Its velocity is constant.

Answer

Its displacement is always positive.

Answer

Its speed is always increasing.

Question 18

Which of the following is a vector quantity?

Accepted Answer

Velocity

Answer

Mass

Answer

Temperature

Answer

Energy

Question 19

The displacement of an object from point A to point B is 10 m north. What is the magnitude of this displacement?

Accepted Answer

10 m

Answer

0 m

Answer

5 m

Answer

20 m

Question 20

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

Accepted Answer

s = ut + 1/2at²

Answer

v = u + at

Answer

a = v²/s

Answer

v = s/a

Question 21

Which of the following is a unit of acceleration?

Accepted Answer

meters per second squared

Answer

meters per second

Answer

kilograms per second

Answer

newtons per second

Question 22

A particle moves along a straight line with constant velocity. Which of the following graphs best represents the particle's displacement-time relationship?

Accepted Answer

A straight line with a positive slope

Answer

A straight line with a negative slope

Answer

A parabola

Answer

A circle

Question 23

Which of the following is a unit vector?

Accepted Answer

A vector with a magnitude of 1

Answer

A vector with a magnitude of 0

Answer

A vector with a direction perpendicular to another vector

Answer

A vector with a non-zero magnitude

Question 24

Which of the following equations represents the relationship between velocity, acceleration, and time?

Accepted Answer

v = u + at

Answer

s = ut + 1/2at²

Answer

a = v - u/t

Answer

v² = u² + 2as

Question 25

A particle moves in a straight line, starting from rest, with a constant acceleration of 2 m/s². Sketch the velocity-time graph for the particle's motion.

Accepted Answer

[Image of a graph with a straight line starting at (0, 0) and rising at a constant slope of 2]

Answer

[Image of a graph with a straight line starting at (0, 5) and rising at a constant slope of 2]

Answer

[Image of a graph with a parabola opening upwards]

Answer

[Image of a graph with a horizontal line at y = 0]

Question 26

A vector has a magnitude of 5 and a direction of 30° north of east. Determine its horizontal and vertical components.

Accepted Answer

4.33 m, 2.5 m

Answer

2.5 m, 4.33 m

Answer

3.5 m, 3.5 m

Question 27

A ball is thrown vertically upwards with an initial velocity of 10 meters per second. Determine its velocity at the highest point of its trajectory.

Accepted Answer

0 m/s

Answer

-10 m/s

Answer

5 m/s

Answer

10 m/s

Question 28

A projectile is launched at an angle of 45° to the horizontal. What is the relationship between its horizontal and vertical velocities at the highest point of its trajectory?

Accepted Answer

Equal

Answer

They are zero

Answer

Vertical is twice horizontal

Answer

Horizontal is twice vertical

Question 29

Scalar quantities possess magnitude but lack direction. Which of the following is a scalar quantity?

Accepted Answer

Temperature

Answer

Velocity

Answer

Acceleration

Answer

Force

Question 30

A vector has a magnitude of 10 and a direction of 120 degrees. Calculate the vertical component of the vector.

Accepted Answer

-5

Answer

-10

Answer

5

Answer

10

Question 31

Scalar quantities have magnitude without direction. Which of the following is a scalar quantity?

Accepted Answer

Mass

Answer

Displacement

Answer

Acceleration

Answer

Torque

Question 32

Which of the following is a characteristic of a scalar quantity?

Accepted Answer

It has only magnitude.

Answer

It varies with time.

Answer

It has only direction.

Answer

It has both magnitude and direction.

Question 33

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

Accepted Answer

Its acceleration is directed toward the center of the circle.

Answer

Its acceleration is directed away from the center of the circle.

Answer

Its acceleration is zero.

Question 34

Which of the following is an example of a scalar quantity?

Accepted Answer

Temperature

Answer

Velocity

Answer

Force

Answer

Displacement

Question 35

Which of the following quantities is a vector?

Accepted Answer

Velocity

Answer

Time

Answer

Mass

Question 36

Which of these formulas correctly represents displacement?

Accepted Answer

s = ut + 0.5at²

Answer

s = v - u / t

Answer

s = v² - u² / 2a

Question 37

Which of these graphs represents a particle moving with constant acceleration?

Accepted Answer

A straight line with positive slope

Answer

A straight line with negative slope

Answer

A parabola

Answer

A circle

Question 38

A car travels 50 meters in 5 seconds. It then travels another 50 meters in 10 seconds. What is its average speed over the entire journey?

Accepted Answer

33.3 m/s

Answer

50 m/s

Answer

40 m/s

Answer

25 m/s

Question 39

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

Accepted Answer

50 km/h

Answer

25 km/h

Answer

100 km/h

Answer

75 km/h

Question 40

Which of these quantities is a scalar?

Accepted Answer

Speed

Answer

Displacement

Answer

Acceleration

Answer

Velocity

Question 41

A ball rolls down a slope with a constant acceleration of 2 m/s². If it starts from rest, what is its velocity after 5 seconds?

Accepted Answer

10 m/s

Answer

5 m/s

Answer

50 m/s

Answer

20 m/s

Question 42

Which of these graphs represents motion with constant acceleration?

Accepted Answer

A straight line sloping upwards

Answer

A straight line sloping downwards

Answer

A horizontal straight line

Answer

A curve shaped like a parabola

Question 43

Which of these is the correct unit for acceleration?

Accepted Answer

m/s²

Answer

km/h

Answer

m³

Answer

m/s

Question 44

A car travels 100 kilometers in 2 hours. What is its average speed?

Accepted Answer

50 km/h

Answer

125 km/h

Answer

75 km/h

Answer

25 km/h

Question 45

A ball is thrown vertically upwards with an initial velocity of 10 m/s. Ignoring air resistance, what is its maximum height?

Accepted Answer

5.1 m

Answer

15.3 m

Answer

2.5 m

Answer

10 m

Question 46

A vector has a magnitude of 5 units and makes an angle of 30 degrees with the positive x-axis. What are its x and y components?

Accepted Answer

(4.33, 2.5)

Answer

(4.33, 3.5)

Answer

(3.33, 3.5)

Answer

(3.33, 2.5)

Question 47

A particle moves with a constant acceleration. Which of the following graphs represents the relationship between its velocity and time?

Accepted Answer

Straight line with positive slope

Answer

Parabola

Answer

Straight line with negative slope

Answer

Circle

Question 48

A ball is dropped from a height of 50 meters. Ignoring air resistance, what is its velocity just before it hits the ground?

Accepted Answer

31.3 m/s

Answer

47.0 m/s

Answer

62.6 m/s

Answer

15.6 m/s

Question 49

A vector has a magnitude of 10 units and makes an angle of 45 degrees with the positive y-axis. What is its x component?

Accepted Answer

7.07

Answer

10.00

Answer

5.00

Answer

8.66

Question 50

A particle moves with a constant velocity of 5 m/s for 10 seconds. What is the distance it travels?

Accepted Answer

50 m

Answer

100 m

Answer

25 m

Answer

75 m

Question 51

A car accelerates from rest at a rate of 2 m/s² for 5 seconds. What is its final velocity?

Accepted Answer

10 m/s

Answer

15 m/s

Answer

20 m/s

Answer

5 m/s