Motion in Mathematics: Master Speed, Velocity, and Acceleration

Question 1

A car travels 100 km in 2 hours. Determine its average velocity.

Accepted Answer

50 km/h

Answer

25 km/h

Answer

75 km/h

Answer

100 km/h

Question 2

A car is travelling at a velocity of 20 m/s. If its acceleration is 5 m/s², determine its velocity after 3 seconds.

Accepted Answer

30 m/s

Answer

15 m/s

Answer

20 m/s

Answer

25 m/s

Question 3

Which of the following is the SI unit of speed?

Accepted Answer

Meter per second

Answer

Kilometer per hour

Answer

Miles per hour

Answer

Feet per second

Question 4

Which of the following is NOT a factor that affects acceleration?

Accepted Answer

Distance covered

Answer

Mass of the object

Answer

Force applied to the object

Answer

Coefficient of friction

Question 5

A ball is thrown vertically upward with an initial velocity of 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

Which of the following graphs represents uniform acceleration?

Accepted Answer

A straight line with a positive slope

Answer

A straight line with a negative slope

Answer

A parabola

Answer

A hyperbola

Question 7

Which of the following equations is used to calculate displacement?

Accepted Answer

s = ut + 1/2 at²

Answer

v = u + at

Answer

a = v - u/t

Answer

t = v - u/a

Question 8

A body moves with a constant velocity of 10 m/s. What is the distance covered by the body in 5 seconds?

Accepted Answer

20 m

Answer

10 m

Answer

50 m

Answer

100 m

Question 9

Which of the following is a scalar quantity?

Accepted Answer

Speed

Answer

Velocity

Answer

Acceleration

Answer

Displacement

Question 10

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

Accepted Answer

112 km north-east

Answer

50 km north-east

Answer

100 km north-east

Answer

150 km north-east

Question 11

A train journeys 120 km in 2 hours. What is the average speed of the train?

Accepted Answer

60 km/h

Answer

120 km/h

Answer

180 km/h

Answer

240 km/h

Question 12

An object moving with an initial velocity of 10 m/s has an acceleration of -2 m/s². What is its velocity after 5 seconds?

Accepted Answer

5 m/s

Answer

0 m/s

Answer

10 m/s

Answer

15 m/s

Question 13

What is the SI unit of acceleration?

Accepted Answer

Meter per second squared

Answer

Meter per second

Answer

Kilometer per hour

Answer

Mile per hour

Question 14

An object is moving with a constant velocity. Which of the following graphs best represents the motion of the object?

Accepted Answer

A straight line with positive slope

Answer

A straight line with negative slope

Answer

A parabola

Answer

A circle

Question 15

Which of the following factors does NOT affect the acceleration of an object?

Accepted Answer

Shape of the object

Answer

Mass of the object

Answer

Force applied to the object

Answer

Velocity of the object

Question 16

Define speed in the context of motion.

Accepted Answer

The distance traveled in a given time

Answer

The rate of change of displacement

Answer

The rate of change of velocity

Answer

The distance traveled in a specific direction

Question 17

Which factors influence the acceleration of an object?

Accepted Answer

Both mass and force

Answer

Mass of the object

Answer

Force applied to the object

Answer

Neither mass nor force

Question 18

What does a displacement-time graph of an object moving in a straight line indicate when it is a straight line parallel to the time axis?

Accepted Answer

The object is moving with constant speed

Answer

The object is moving with constant acceleration

Answer

The object is at rest

Answer

The object is moving with varying acceleration

Question 19

Identify the vector quantity among the following:

Accepted Answer

Displacement

Answer

Speed

Answer

Mass

Answer

Time

Question 20

State the SI unit of acceleration.

Accepted Answer

Meter per second squared

Answer

Meter per second

Answer

Kilogram per second

Answer

Newton

Question 21

A car travels 120 km in 2 hours. Calculate the average speed of the car in km/h.

Accepted Answer

60

Answer

90

Answer

120

Answer

240

Question 22

A car travels a distance of 500 m in 10 seconds. Determine the displacement of the car.

Accepted Answer

500 m

Answer

50 m

Answer

100 m

Answer

1000 m

Question 23

A car travels 100 km in 1 hour and then 100 km in the next 2 hours. Calculate the average speed of the car for the entire journey.

Accepted Answer

66.67 km/h

Answer

100 km/h

Answer

133.33 km/h

Answer

200 km/h

Question 24

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

Accepted Answer

Towards the center of the path

Answer

Away from the center of the path

Answer

Tangent to the path (perpendicular to the velocity)

Answer

There is no acceleration

Question 25

A cyclist travels 20 kilometers in the first hour and 10 kilometers in the second hour. What is their average velocity?

Accepted Answer

15 km/h

Answer

10 km/h

Answer

20 km/h

Answer

30 km/h

Question 26

A ball is thrown vertically upwards with an initial velocity of 10 m/s. Determine the time taken for the ball to reach its maximum height.

Accepted Answer

2.5 seconds

Answer

5 seconds

Answer

7.5 seconds

Answer

10 seconds

Question 27

Which of the following physical quantities is a vector quantity?

Accepted Answer

Velocity

Answer

Speed

Answer

Distance

Answer

Time

Question 28

Which of the following factors does NOT affect the acceleration of an object?

Accepted Answer

Shape of the object

Answer

Mass of the object

Answer

Force applied to the object

Answer

Direction of the force

Question 29

A projectile is launched at an angle of 45 degrees to the horizontal. Which of the following statements about the projectile's motion is true?

Accepted Answer

The horizontal component of velocity remains constant throughout the projectile's flight

Answer

The vertical component of velocity is zero at the highest point of the projectile's trajectory

Answer

The projectile's acceleration is constant throughout its flight

Answer

The projectile's velocity is always perpendicular to its displacement

Question 30

What is the SI unit for speed?

Accepted Answer

m/s

Answer

km/h

Answer

mph

Answer

cm/s

Question 31

A car travels a distance of 100 km in 2 hours. Calculate its average speed?

Accepted Answer

50 km/h

Answer

20 m/s

Answer

100 m/s

Answer

25 km/h

Question 32

Which of the following is a vector quantity?

Accepted Answer

Speed

Answer

Mass

Answer

Time

Answer

Distance

Question 33

Which of the following graphs represents uniform acceleration?

Accepted Answer

[graph showing a straight line]

Answer

[graph showing a parabola]

Answer

[graph showing a circle]

Answer

[graph showing a sine wave]

Question 34

Which of the following is the equation of motion for a particle moving with constant velocity?

Accepted Answer

v = u + at

Answer

s = ut + 1/2at²

Answer

v² = u² + 2as

Answer

t = u/a

Question 35

A train accelerates uniformly from rest to a speed of 40 m/s in 10 seconds. What is the train's acceleration?

Accepted Answer

4 m/s²

Answer

2 m/s²

Answer

10 m/s²

Answer

40 m/s²

Question 36

A car moves with a constant velocity of 20 m/s. What is the displacement of the car after 3 seconds?

Accepted Answer

60 meters

Answer

80 meters

Answer

40 meters

Answer

20 meters

Question 37

A car has an initial velocity of 10 m/s and accelerates uniformly at 3 m/s² for 5 seconds. What is the car's final velocity?

Accepted Answer

25 m/s

Answer

35 m/s

Answer

15 m/s

Question 38

Which of the following graphs represents motion with constant velocity?

Accepted Answer

A straight line parallel to the time axis

Answer

A parabolic curve

Answer

A straight line with a positive slope

Answer

A curved line

Question 39

An object's displacement-time graph is a straight line with a negative slope. What does this indicate about the object's motion?

Accepted Answer

The object is moving with a constant negative velocity.

Answer

The object is moving with a constant positive velocity.

Answer

The object is stationary.

Question 40

Which of the following factors does NOT affect an object's acceleration?

Accepted Answer

The object's temperature

Answer

The object's shape

Answer

The net force acting on the object

Answer

The object's mass

Question 41

What is the unit of momentum?

Accepted Answer

kg m/s

Answer

m/s

Answer

N

Answer

kg m/s²

Question 42

A car of mass 1000 kg is moving with a velocity of 20 m/s. What is its kinetic energy?

Accepted Answer

200 kJ

Answer

100 kJ

Answer

300 kJ

Question 43

A car travels 120 miles in 2 hours. What is its average speed?

Accepted Answer

60 mph

Answer

240 mph

Answer

120 mph

Question 44

A train travels at a constant speed of 60 km/h. How far does it travel in 3 hours?

Accepted Answer

180 km

Answer

20 km

Answer

60 km

Answer

30 km

Question 45

A car is traveling at 20 m/s. It brakes and comes to a stop in 5 seconds. What is its average acceleration during braking?

Accepted Answer

-4 m/s²

Answer

100 m/s²

Answer

4 m/s²

Answer

-100 m/s²

Question 46

A stone is dropped from a height of 100 meters. Ignoring air resistance, how long does it take to reach the ground?

Accepted Answer

About 4.5 seconds

Answer

About 10 seconds

Answer

About 2 seconds

Answer

It depends on the stone's mass

Question 47

A runner completes a 400 meter lap in 50 seconds. What is their average speed in m/s?

Accepted Answer

8 m/s

Answer

200 m/s

Answer

400 m/s

Answer

50 m/s

Question 48

A car accelerates from 10 m/s to 20 m/s in 5 seconds. What is its average acceleration?

Accepted Answer

2 m/s²

Answer

10 m/s²

Answer

5 m/s²

Answer

0.5 m/s²

Question 49

A car travels 120 miles in 2 hours. What is its average speed?

Accepted Answer

60 mph

Answer

30 mph

Answer

120 mph

Answer

240 mph

Question 50

A cyclist travels 10 km east, then 5 km west. What is their displacement?

Accepted Answer

5 km east

Answer

15 km west

Answer

5 km west

Answer

15 km east

Question 51

A ball is thrown vertically upwards. What is its acceleration during its upward motion?

Accepted Answer

It's always downwards due to gravity.

Answer

It's upwards.

Answer

It's zero.

Answer

It changes direction.

Question 52

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

Accepted Answer

10 m/s

Answer

5 m/s

Answer

2 m/s

Answer

25 m/s

Question 53

A car traveling at 20 m/s comes to a stop in 5 seconds. What is its deceleration?

Accepted Answer

4 m/s²

Answer

100 m/s²

Answer

2 m/s²

Answer

0.25 m/s²

Question 54

Ignoring air resistance, how long does it take a ball dropped from a height of 10 meters to reach the ground?

Accepted Answer

About 1.4 seconds

Answer

About 3.2 seconds

Answer

About 5 seconds

Answer

About 2 seconds

Question 55

Which graph represents an object moving at a constant speed?

Accepted Answer

A straight line with a non-zero slope

Answer

A vertical line

Answer

A horizontal line

Answer

A curved line

Question 56

A car is traveling at a constant speed of 50 m/s. What is true about its acceleration?

Accepted Answer

The acceleration is zero.

Answer

The acceleration is negative.

Answer

The acceleration is positive.

Answer

The acceleration is changing.

Question 57

A ball is thrown horizontally from a cliff. Ignoring air resistance, what is true about its vertical motion?

Accepted Answer

The ball accelerates downwards due to gravity.

Answer

The ball moves at a constant velocity.

Answer

The ball has no vertical motion.

Answer

The ball accelerates upwards.

Question 58

A runner completes a 400m lap in 60 seconds. What is their average velocity?

Accepted Answer

0 m/s

Answer

6.67 m/s

Answer

400 m/s

Answer

60 m/s