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Describing Motion Around Us

NCERT Class 9 Science Chapter 4: Describing Motion Around Us (Pages 48–71)

Summary of Describing Motion Around Us

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Describing Motion Around Us at a Glance

Board

CBSE

Class

Class 9

Subject

Science

Book

Exploration

Chapter

4

Pages

4871

Resources

6 study resources

Describing Motion Around Us Summary

In this chapter, we explore the concept of motion, which is present everywhere in our lives. From everyday activities to complex scientific phenomena, motion happens in various forms, such as the fluttering of butterflies, the movement of oceans, and even the orbits of celestial bodies. Understanding motion involves understanding several physical quantities like distance, speed, velocity, displacement, and acceleration. Distinguishing between distance traveled and displacement, we find that displacement considers the straight-line distance from start to finish, while total distance accounts for the entire path taken. We start with straight-line motion, called linear motion, which is the simplest form of motion. We describe the position of an object at various times using a reference point, where an object's motion is determined by how its position changes over time. Introducing more terms, average speed helps us understand how fast an object is moving by calculating the total distance covered over time. In contrast, average velocity includes direction, providing a complete picture of the object's motion. When an object accelerates, its velocity changes over time, defined by average acceleration, which measures this change in velocity over a time period. This leads us to kinematic equations that mathematically describe the relationships between displacement, time, velocity, and acceleration for objects moving at constant acceleration, allowing us to calculate unknown variables when we have a few known quantities. The chapter also delves into the significance of graphical representation of motion. Position-time graphs illustrate how distance and time relate visually, while velocity-time graphs indicate how velocity varies over time. The slopes of these graphs can provide valuable information; for instance, the slope of the position-time graph represents speed, while the slope of a velocity-time graph indicates acceleration. Finally, uniform circular motion is examined, where an object moves in a circular path with a constant speed, while its velocity changes due to continuous directional change. This understanding is crucial for interpreting multiple real-world phenomena, like planetary rotations and vehicles taking turns. Through these concepts, we gain a comprehensive understanding of motion, a fundamental aspect of our physical world.

Describing Motion Around Us Revision Guide

Download the Describing Motion Around Us revision guide with key points, summaries, and quick revision notes for CBSE Class 9 Science.

Key Points

1

Motion is a change in an object's position.

Movement occurs when the position of an object changes relative to a reference point.

2

Define distance and displacement.

Distance is the total path length traveled; displacement is the straight-line distance from the starting to the ending point.

3

Difference between speed and velocity.

Speed is scalar (magnitude only), while velocity is vectorial, including direction.

4

Average speed formula: v̅ = d/t.

Average speed is the total distance divided by the total time taken during the motion.

5

Define average velocity.

Average velocity is the change in position (displacement) divided by the time interval.

6

Average acceleration: a = (v - u)/t.

Average acceleration is change in velocity divided by time taken; important for describing motion changes.

7

Uniform vs. non-uniform motion.

Uniform motion occurs when an object covers equal distances in equal intervals of time; non-uniform motion varies distances.

8

Graphical representation of motion.

Position-time and velocity-time graphs visually depict motion. The slope gives velocity, while the area can show displacement.

9

Kinematic equations for constant acceleration.

Important formulas: v = u + at, s = ut + 0.5at², v² = u² + 2as describe motion under constant acceleration.

10

Instantaneous velocity defined.

The velocity of an object at a specific moment, calculated using limits as the time interval approaches zero.

11

Factors affecting stopping distance.

Stopping distance depends on speed, road conditions, and vehicle braking capabilities.

12

Uniform circular motion explained.

Motion in a circular path with constant speed; direction changes continuously hence involves acceleration.

13

SI units for distance, speed, and acceleration.

Distance (m), speed (m/s), and acceleration (m/s²) are standard units of measurement in physics.

14

Understanding motion types: linear, circular, oscillatory.

Describes how objects move; linear is straight, circular follows a path, and oscillatory moves back and forth.

15

Misconceptions regarding motion.

Always clarify that an object can have high speed but zero acceleration if it moves at constant speed.

16

Concept of reference points.

Motion is described relative to these fixed points; they help assess object changes in position.

17

Velocity-time graph interpretation.

Slope indicates acceleration; the area under the graph signifies displacement over time.

18

Effect of acceleration on velocity.

Acceleration causes the velocity of an object to increase or decrease over time.

19

Total distance vs. total displacement.

Total distance accounts for all movement, while displacement focuses on the shortest path between two points.

20

Zero displacement scenarios.

If the starting and ending positions are the same, displacement equals zero, despite total distance traveled.

21

Applications of kinematic equations.

Used in various real-world scenarios, like calculating stopping distances and projectile motions.

Describing Motion Around Us Practice Questions & Answers

Practice important questions and exam-style problems from Describing Motion Around Us. These questions cover key topics from the CBSE Class 9 Science syllabus.

How to practice: Start with the questions below to test your understanding of Describing Motion Around Us. Use the revision guide to review concepts you find difficult, then come back and retry the questions for better retention.

View all 109 Describing Motion Around Us questions
Q9

Which of the following equations represents the relationship between distance, speed, and time?

Single Answer MCQ
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Q10

If a car is traveling at a constant speed of 60 m/s for 10 seconds, what distance does it cover?

Single Answer MCQ
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Q11

A vehicle has an initial velocity of 20 m/s and accelerates at 5 m/s². What will be its velocity after 4 seconds?

Single Answer MCQ
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Q12

In a velocity-time graph, what does the area under the graph represent?

Single Answer MCQ
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Q13

A ball is thrown vertically upwards with a velocity of 15 m/s. What will be its velocity when it reaches the highest point?

Single Answer MCQ
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Q14

What is the total distance travelled by an athlete running from point O to A (100 m) and then to B (60 m)?

Single Answer MCQ
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Q15

What represents the change in position of an object from its initial to final position?

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Q16

When is the displacement of an object equal to the total distance travelled?

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Q17

A car travels from point A to B (50 m) and then back to A. What is its displacement?

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Q18

If an object travels at 20 m and returns to the start point, what is the distance and displacement?

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Q19

Which of the following is true for both distance and displacement?

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Q20

An object moves 50 meters east and then 30 meters west. What is its displacement?

Single Answer MCQ
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Q21

What does a scalar quantity require for its definition?

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Q22

When can displacement be greater than the total distance travelled?

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Q23

If a person walks around the perimeter of a square path of side length 10 m, what is their total distance travelled?

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Q24

If an object travels 30 meters north and then 40 meters east, how do you find its displacement?

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Q25

Which of the following statements is true regarding distance and displacement?

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Q26

A person runs 100 m forward, then 30 m backward. What is the distance travelled and displacement?

Single Answer MCQ
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Q27

What is the formula to calculate average acceleration?

Single Answer MCQ
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Q28

What is the SI unit of average acceleration?

Single Answer MCQ
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Q29

An object moving in a straight line increases its velocity from 20 m/s to 50 m/s in 5 seconds. What is its average acceleration?

Single Answer MCQ
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Q30

If an object experiences average acceleration directed opposite to its velocity, what is happening to its motion?

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Q31

A bus travels at an initial velocity of 15 m/s and accelerates at a rate of 2 m/s² for 10 seconds. What will be its final velocity?

Single Answer MCQ
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Q32

What happens to the average acceleration if an object continues to move at a constant velocity?

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Q33

Which of the following describes a scenario with negative average acceleration?

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Q34

In terms of direction, how is average acceleration related to velocity?

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Q35

If an object accelerates at a constant rate, which of the following statements is true?

Single Answer MCQ
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Q36

What is the formula for average speed?

Single Answer MCQ
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Q37

When calculating average acceleration, why is it important to consider the direction of motion?

Single Answer MCQ
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Q38

If a car travels 60 km in 1 hour, what is its average speed?

Single Answer MCQ
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Q39

An object has an initial velocity of 30 m/s and an average acceleration of -5 m/s². How will this affect the object's velocity after 6 seconds?

Single Answer MCQ
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Q40

Sita walks 5 km north and then 5 km south. What is her average velocity?

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Q41

If a car's velocity decreases from 80 m/s to 40 m/s in 5 seconds, what is the average acceleration?

Single Answer MCQ
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Q42

An object moves 100 m east in 5 seconds. What is its average velocity?

Single Answer MCQ
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Q43

Which of the following best describes average acceleration?

Single Answer MCQ
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Q44

If an object travels at different speeds, which of the following statements is true?

Single Answer MCQ
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Q45

When does an object have zero average acceleration?

Single Answer MCQ
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Q46

How is the average velocity of an object defined?

Single Answer MCQ
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Q47

In which scenario is the average speed less than the average velocity?

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Q48

If a cyclist travels 40 km north in 2 hours and then 40 km south in 1 hour, what is the average speed of the trip?

Single Answer MCQ
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Q49

What is the average velocity of an object that moves 300 m west in 15 seconds?

Single Answer MCQ
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Q50

An athlete completes a lap of 400 m. If they return to the starting point, what is their average velocity?

Single Answer MCQ
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Q51

An object moves 150 meters in 30 seconds. What is the average speed?

Single Answer MCQ
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Q52

If an object travels in one direction and then returns to the original position, what is the average speed if it took 40 seconds to complete the journey?

Single Answer MCQ
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Q53

How do average speed and average velocity differ?

Single Answer MCQ
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Q54

An object travels 40 m north, 20 m east, and 30 m south. What is the average velocity?

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Q55

An object moves in a circular path and returns to its starting point in 60 seconds. What is its average speed?

Single Answer MCQ
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Q56

What does a straight line on a position-time graph indicate about the object's motion?

Single Answer MCQ
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Q57

What is needed to describe the position of an object?

Single Answer MCQ
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Q58

If the slope of a velocity-time graph is negative, what does this imply about the motion of the object?

Single Answer MCQ
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Q59

When is an object considered to be in motion?

Single Answer MCQ
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Q60

What is represented by the area under a velocity-time graph?

Single Answer MCQ
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Q61

If an athlete starts at point O and runs to point A, how is the direction of position represented?

Single Answer MCQ
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Q62

In a velocity-time graph, what does a horizontal line indicate?

Single Answer MCQ
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Q63

What is displacement?

Single Answer MCQ
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Q64

How would the graph look for an object that accelerates uniformly from rest?

Single Answer MCQ
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Q65

Which of the following quantities requires both magnitude and direction?

Single Answer MCQ
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Q66

If an object moves in a straight line and the velocity-time graph shows a positive slope, what can be inferred about its motion?

Single Answer MCQ
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Q67

If a runner moves from point O (0 m) to point A (40 m) and then back to point O, how much distance have they covered?

Single Answer MCQ
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Q68

What type of graph would you use to represent the acceleration of an object?

Single Answer MCQ
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Q69

What is the magnitude of displacement if a runner goes from point O to A (40 m) and back to O?

Single Answer MCQ
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Q70

Which of the following represents non-uniform motion in a position-time graph?

Single Answer MCQ
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Q71

In a straight line motion, which factor is critical for defining the reference point?

Single Answer MCQ
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Q72

In which scenario would the distance and displacement be the same?

Single Answer MCQ
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Q73

Which of the following best describes an instant of time?

Single Answer MCQ
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Q74

What happens to the acceleration of an object in free fall, according to graphs?

Single Answer MCQ
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Q75

When specifying displacement, what must be included?

Single Answer MCQ
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Q76

An object thrown upwards will show which type of graph on a velocity-time graph?

Single Answer MCQ
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Q77

Why is it important to represent direction in motion?

Single Answer MCQ
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Q78

How can you represent an object that is stationary on a distance-time graph?

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Q79

If two objects move in opposite directions from the same reference point, what can be said about their displacements?

Single Answer MCQ
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Q80

If the acceleration of an object changes at different time intervals, how would this appear on a velocity-time graph?

Single Answer MCQ
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Q81

In what case would the total distance traveled be equal to the displacement?

Single Answer MCQ
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Q82

Which of the following correctly describes a position-time graph of a car moving back and forth?

Single Answer MCQ
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Q83

What is the primary factor that differentiates motion in one dimension from motion in a plane?

Single Answer MCQ
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Q84

Which of the following best describes uniform circular motion?

Single Answer MCQ
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Q85

A child on a merry-go-round travels around the circle. What is true about the distance traveled and the displacement after one complete revolution?

Single Answer MCQ
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Q86

An object moving in a circular path at constant speed takes time T to complete one revolution. What is its average speed?

Single Answer MCQ
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Q87

Which of the following statements is true regarding acceleration in uniform circular motion?

Single Answer MCQ
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Q88

In two-dimensional motion, which of the following is NOT a characteristic of projectile motion?

Single Answer MCQ
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Q89

A vehicle traveling at a constant speed of 60 km/h takes a turn without changing speed. Which type of motion does it exhibit?

Single Answer MCQ
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Q90

If a ball is kicked and follows a curved path, which components of motion are responsible for its trajectory?

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Q91

When analyzing resultant displacement in a two-dimensional motion, which method is commonly used?

Single Answer MCQ
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Q92

What happens to the velocity of an object undergoing uniform circular motion as it moves along the circular path?

Single Answer MCQ
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Q93

If two objects travel the same distance but at different times, what can be said about their average speeds?

Single Answer MCQ
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Q94

Which formula connects initial velocity, time, displacement, and acceleration in linear motion?

Single Answer MCQ
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Q95

In circular motion, what effect does increasing the speed have on the required centripetal force?

Single Answer MCQ
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Q96

How does the direction of velocity change during one complete round of uniform circular motion?

Single Answer MCQ
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Q97

What does the variable 'u' represent in the kinematic equations?

Single Answer MCQ
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Q98

In the equation v = u + at, what does 'a' represent?

Single Answer MCQ
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Q99

Choose the correct kinematic equation for calculating displacement with constant acceleration.

Single Answer MCQ
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Q100

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

Single Answer MCQ
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Q101

If an object moves with an initial velocity of 10 m/s and accelerates at 2 m/s² for 3 seconds, what is the total displacement?

Single Answer MCQ
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Q102

An object travels 50 meters in 5 seconds with uniform acceleration. If its final velocity is 30 m/s, what was its initial velocity?

Single Answer MCQ
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Q103

Which of the following is true about the acceleration in a uniformly accelerated motion?

Single Answer MCQ
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Q104

In the kinematic equation s = vt - 0.5at², when does the object achieve maximum height?

Single Answer MCQ
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Q105

How is average velocity defined in uniformly accelerated motion?

Single Answer MCQ
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Q106

What does a positive acceleration indicate about an object's motion?

Single Answer MCQ
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Q107

If an object travels with initial speed u and final speed v under constant acceleration a, what relation describes the velocity squared?

Single Answer MCQ
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Q108

An object is thrown vertically upwards, and reaches a height of 20 m. If we assume constant acceleration due to gravity, what will be its condition at the highest point?

Single Answer MCQ
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Q109

If an object is dropped from a height and takes 3 seconds to reach the ground, what can you find using kinematic equations?

Single Answer MCQ
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Describing Motion Around Us Practice Worksheets

Download and practice Describing Motion Around Us worksheets to improve problem-solving accuracy and speed for CBSE Class 9 Science exams.

Describing Motion Around Us - Practice Worksheet

This worksheet covers essential long-answer questions to help you build confidence in Describing Motion Around Us from Exploration for Class 9 (Science).

Practice

Questions

1

What is the difference between distance and displacement? Explain with examples.

Distance is the total path length covered by an object during its motion, measured in meters (m). Displacement, however, is the shortest distance from the initial to the final position, along with direction. For example, if a person walks 3 m east and then 4 m west, the distance traveled is 7 m, but the displacement is 1 m west.

2

Define average speed and average velocity. How are they different?

Average speed is the total distance traveled divided by the total time taken, without any direction considered. Average velocity, on the other hand, is the net displacement divided by the total time taken, which must account for direction. For instance, if a car travels 100 km north in 2 hours, its average speed is 50 km/h, while the average velocity is also 50 km/h to the north.

3

Explain how acceleration is defined. Provide a formula and an example.

Acceleration is the rate of change of velocity over time. It is defined as the change in velocity (final velocity - initial velocity) divided by the time taken (a = (v - u) / t). For example, if a car's velocity increases from 20 m/s to 50 m/s in 5 seconds, its acceleration is (50 - 20) / 5 = 6 m/s².

4

What are the kinematic equations for uniformly accelerated linear motion? Explain their significance.

The kinematic equations are: (1) v = u + at, (2) s = ut + (1/2)at², (3) v² = u² + 2as. These equations are significant because they relate displacement, initial and final velocities, acceleration, and time for any object moving with constant acceleration, allowing predictions about future motion.

5

Describe what uniform circular motion is and give real-world examples.

Uniform circular motion occurs when an object travels in a circular path at constant speed. However, the direction of its velocity changes continuously. Examples include a satellite orbiting Earth or a car turning around a circular track. The speed remains constant, but the object experiences centripetal acceleration directed towards the center of the circle.

6

Discuss the significance of the slope in a velocity-time graph.

The slope of a velocity-time graph indicates the acceleration of the object. A positive slope represents positive acceleration, while a negative slope indicates deceleration. If the slope is constant, the acceleration is uniform. For example, a car accelerating with constant acceleration would display a straight, sloped line on such a graph.

7

Explain how motion can be represented graphically. What information can we obtain from these graphs?

Motion can be represented by position-time and velocity-time graphs. Position-time graphs show how the position of an object changes over time, and the slope of this graph indicates the object's velocity. Velocity-time graphs display changes in velocity over time, where the area under the graph gives the displacement.

8

What is the relationship between distance, displacement, and speed in uniform motion?

In uniform motion, the distance traveled is the same in each time interval, and thus distance and displacement are equal if the motion is in a straight line without change of direction. For speed, it remains constant, and can be calculated as distance/time, where the distance and displacement values are the same.

9

How does gravity affect motion? Discuss its influence on free-falling objects.

Gravity is a force that pulls objects toward Earth, resulting in downward acceleration for free-falling objects, approximately 9.8 m/s². This constant acceleration means that the velocity of a freely falling object increases uniformly over time, impacting how we measure distance and time during such motion.

10

How would you define and differentiate linear motion from circular motion?

Linear motion occurs when an object moves along a straight path, whereas circular motion occurs when an object travels along a curved path or circle. The key difference lies in the direction of the motion; linear motion has constant direction, and circular motion involves continuous direction change, resulting in different forces acting on the object.

Describing Motion Around Us - Mastery Worksheet

This worksheet challenges you with deeper, multi-concept long-answer questions from Describing Motion Around Us to prepare for higher-weightage questions in Class 9.

Mastery

Questions

1

Explain the difference between distance and displacement with examples. How do they relate to each other in one-dimensional motion?

Distance is a scalar quantity that represents the total path length traveled by an object, while displacement is a vector quantity that represents the change in position of an object from its initial to final position, including direction. For example, if an athlete runs 400 m in a circular track and ends up where they started, their distance is 400 m, but their displacement is 0 m.

2

Define average speed and average velocity. How can two objects travel the same distance in the same time but have different average speeds and velocities?

Average speed is the total distance traveled divided by the total time taken. Average velocity is the change in displacement divided by the time taken. If two objects travel different paths while covering the same distance, they can have different average speeds. However, for average velocity, if they start and end at the same points, their average velocities will be the same.

3

What is the significance of uniform acceleration? Describe an example with calculations involved.

Uniform acceleration means that the rate of change of velocity is constant over time. For instance, if a car accelerates from rest at 2 m/s² for 5 seconds, its final velocity can be calculated using v = u + at, yielding v = 0 + (2 m/s²)(5 s) = 10 m/s.

4

Consider a graph showing the position of an object over time. Describe how to derive average velocity and acceleration from this graph.

Average velocity is determined by the slope of the position-time graph (change in position over change in time). Average acceleration can be derived from the velocity-time graph's slope (change in velocity over change in time).

5

Discuss the concept of instantaneous speed and how it differs from average speed. Provide a practical example where both differ.

Instantaneous speed refers to the speed of an object at a specific moment in time, while average speed is calculated over a distance/time interval. For example, when a car speeds up while approaching a stoplight, its instantaneous speed can be higher than its average speed over the entire trip to the light.

6

How does changing the reference point affect the observed motion of an object? Provide examples.

Changing the reference point can alter the perceived motion of an object. For example, an athlete running on a track appears stationary to a spectator standing with them, but they appear to be moving to someone watching from the bleachers. This illustrates the relativity of motion.

7

Analyze the motion of a ball thrown vertically upwards. What are the forces acting on it during its ascent and descent?

During ascent, gravitational force acts downwards, slowing the ball until it reaches its peak. During descent, gravity causes the ball to accelerate downward. Air resistance also plays a role but is usually less significant compared to gravity.

8

Explain how the area under a velocity-time graph relates to displacement. Provide an example calculation using a given graph.

The area under a velocity-time graph indicates the displacement of an object over that time period. For instance, if a graph shows a velocity of 20 m/s for 5 seconds, the area (a rectangle) under the graph equals 20 m/s * 5 s = 100 m of displacement.

9

What is the relationship between linear motion graphs and kinematic equations? Illustrate with the relevant equations.

Graphical representations of motion reflect the underlying kinematic equations. For example, a straight line in a position-time graph corresponds to constant velocity, governed by v = s/t. Accelerated motion leads to quadratic curves representing other kinematic equations, such as s = ut + 1/2 at².

10

Discuss how motion in a circular path differs from linear motion in terms of acceleration. Provide examples.

In circular motion, even at constant speed, the direction of the velocity vector changes, leading to centripetal acceleration. In linear motion, acceleration depends solely on speed changes without direction changes. For example, a car turning on a road experiences centripetal acceleration toward the center of the circular path.

Describing Motion Around Us - Challenge Worksheet

The final worksheet presents challenging long-answer questions that test your depth of understanding and exam-readiness for Describing Motion Around Us in Class 9.

Challenge

Questions

1

Evaluate the implications of average speed versus average velocity in a real-life scenario of a round trip.

Discuss how the two can yield different results based on the path taken and direction. Use examples like a round trip where speed is constant vs. changing direction.

2

Analyze the effects of friction on an athlete's velocity during a running event, considering different surfaces.

Examine how different track materials impact speed, discussing both direct effects (on acceleration) and friction types (static vs. kinetic).

3

Critique the concept of uniform circular motion using the case of a satellite orbiting Earth. How does gravitational force affect this motion?

Explore how gravitational force enables constant speed while changing direction, necessitating the need for centripetal acceleration. Discuss potential energy changes during orbit.

4

Evaluate the scenario where a bus applies brakes after a sudden stop. What factors influence the distance before the bus comes to a complete stop?

Investigate how initial velocity, acceleration due to braking, and road conditions (wet or dry) can determine stopping distance. Use equations of motion for calculations.

5

Propose a method for determining the average acceleration of a vehicle that rapidly decelerates when approaching a red light.

Suggest using a speedometer and a timer to measure speeds and time intervals, applying the average acceleration formula. Discuss the significance of accurate measurements.

6

Examine the difference between total distance traveled and displacement in the context of a cyclist covering a circular track.

Define distance and displacement clearly, illustrating with numerical examples as a cyclist completes laps. Discuss conditions that can equalize these quantities.

7

Assess how changing directions influences the acceleration of a vehicle on a circular track compared to a straight road.

Explore how direction changes impacts velocity, leading to constant change implying acceleration, despite potentially constant speed in uniform circular motion.

8

Discuss the role of frames of reference when describing motion—compare two observers witnessing the same event.

Utilize examples such as trains passing one another, showcasing how motion is perceived differently based on the reference frame.

9

Devise an experimental strategy for investigating the relationship between mass and acceleration when using a force (like a car on a slope).

Outline a controlled experiment using varied weights on a ramp, measuring acceleration. Discuss how mass interacts with gravitational and frictional forces.

10

Evaluate the safety measures required for a vehicle traveling at high speeds through curvy roads compared to straight paths.

Discuss the necessity of different braking distances and designing friction-based safety margins, considering the physics of motion on inclines.

Describing Motion Around Us Frequently Asked Questions

Class 9 Science (Exploration) Chapter 4 explains motion in a straight line and in a plane: position and reference point, distance vs displacement, average speed/velocity, average acceleration, motion graphs, and kinematic equations for constant acceleration, plus uniform circular motion.

To describe an object’s position, you first choose a fixed reference point (origin). Then you state the object’s distance and direction from that reference point at a particular instant of time. In straight-line motion, direction can be represented using plus (+) and minus (–) signs: positions to the right of the origin are usually taken as positive, and to the left as negative. Position must be linked to a specific time, because motion is identified by how position changes with time relative to the chosen reference point.
An object is said to be in motion if its position with respect to a chosen reference point changes with time. If its position does not change with time relative to that reference point, the object is at rest. This means motion and rest depend on the reference point you select. For example, a vehicle may be at rest relative to a passenger inside it but moving relative to the road. In this chapter’s straight-line examples, the reference point is clearly fixed as an origin on a line.
A reference point is necessary because position can only be defined relative to something fixed. Without selecting a reference point (origin), you cannot say where an object is or whether it has changed its position. The chapter shows this using an athlete running on a track: by taking the starting point as O and marking positions to the right as positive and to the left as negative, the athlete’s position at different times can be recorded and compared. Motion is then identified by change of position with time relative to O.
In straight-line motion, the object can move only in two opposite directions (forward/backward). The chapter represents direction using plus (+) and minus (–) signs on a number line. Typically, positions to the right of the origin are taken as positive and those to the left as negative. This sign convention helps you include direction in quantities like displacement, velocity, and acceleration, which require both magnitude and direction. Once you choose the positive direction, you should not change it while solving a problem.
Distance travelled is the total length of the path covered by an object, regardless of direction. Displacement is the net change in position between two instants of time, so it depends on both magnitude and direction. In the athlete example, the total distance from O to A and back to B is 160 m, but the displacement from the start O to the final position B is 40 m in the positive direction. Distance is a scalar quantity, while displacement is a vector quantity.
Yes. Displacement depends only on the initial and final positions, not on the total path length. If an object returns to its starting point, its displacement becomes zero, even though it may have travelled a significant distance. The chapter illustrates this with a swimmer who goes from one end of a pool to the other and returns: the total distance is 50 m, but the displacement is 0 m, so average velocity is zero while average speed is not zero.
For motion in a straight line, the total distance travelled and the magnitude of displacement are equal only when the object moves without turning back, i.e., it moves in one direction during the considered time interval. The chapter highlights this explicitly: if there is no change in direction, the path length equals the straight-line separation between the starting and ending positions. However, if the object reverses direction (like the athlete running back), distance increases while displacement may become smaller.
Average speed tells how fast or slow an object moves overall. It is defined as the total distance travelled divided by the time interval during which that distance is covered: average speed = (total distance travelled)/(time interval). Because distance has no direction, average speed is a scalar quantity (only a numerical value with units). The SI unit is metre per second (m/s), though kilometre per hour (km h–1) is also commonly used.
Average velocity is defined as displacement divided by the time interval: average velocity = (displacement)/(time interval). Unlike average speed, it includes direction because displacement is directional. In straight-line motion, direction is shown using + or – signs, and the direction of velocity is the same as the direction of displacement. Average speed depends on the total path length, while average velocity depends only on initial and final positions. Both use the same SI unit, m/s.
In straight-line motion, average speed and the magnitude of average velocity are equal during a time interval if the object moves in one direction without turning back. This is because, in that case, total distance travelled equals the magnitude of displacement. The chapter notes this for straight-line motion and also connects it to graphs: when motion is along a line in one direction, distance–time and position–time graphs can represent the same numerical change if the origin and direction are chosen consistently.
An object is in uniform motion in a straight line if it travels equal distances in equal intervals of time for all possible choices of time intervals. In this case, the object’s speed is constant. The chapter contrasts this with non-uniform motion, where the object travels unequal distances in equal time intervals, meaning speed changes. If successive equal time intervals correspond to increasing distances, the speed is increasing; if distances decrease, the speed is decreasing.
Non-uniform motion in a straight line occurs when an object travels unequal distances in equal intervals of time. This indicates that its speed is changing, either increasing, decreasing, or varying in a more complex way. The chapter identifies this using examples and graphs: a curved position–time graph indicates changing velocity, hence accelerated (non-uniform) motion. In a velocity–time graph, a line that slopes upward shows velocity increasing with time, while a downward slope shows velocity decreasing.
Average acceleration is the change in velocity divided by the time interval: a = (v – u)/(t2 – t1). It has both magnitude and direction. In straight-line motion, if the magnitude of velocity increases, acceleration is in the direction of velocity; if the magnitude of velocity decreases, acceleration is opposite to the direction of velocity (often shown by a negative sign). In the bus example, acceleration is +0.5 m/s² while speeding up and –3 m/s² while braking.
Yes. Acceleration depends on how quickly velocity changes, not on how large velocity is. The chapter gives the example of a bus moving on a straight highway at constant velocity: even if the velocity is high, if it does not change with time, acceleration is zero. On a velocity–time graph, this is shown by a horizontal line parallel to the time axis, whose slope is zero. So “fast motion” does not automatically mean “accelerated motion.”
A position–time graph shows how an object’s position changes with time relative to an origin. Time is plotted on the x-axis and position on the y-axis. The chapter explains how to choose scales, plot points from a table, and join them to form the graph. A straight line position–time graph indicates constant velocity, while a curved graph indicates changing velocity. The graph is not a route map; it represents the change of position with time, not the actual path taken in space.
The slope of a position–time graph represents velocity (more precisely, average velocity over a chosen interval for a straight line segment). Geometrically, slope = (change in position)/(change in time). In the chapter’s example, taking two points on the straight-line position–time graph gives slope = 20 m/s, showing constant velocity. A steeper slope means a higher velocity. If the position–time graph is horizontal (parallel to the time axis), the slope is zero, meaning the object is at rest.
You compare the slopes of the lines (or segments) in the position–time graphs. For the same time interval, the object with greater displacement has a steeper line and therefore higher velocity. The chapter demonstrates this with two objects A and B: by drawing lines to read displacements over an equal time interval, it shows that object B has a larger displacement, so its graph is steeper and its velocity is higher. This method works directly for straight-line graphs representing constant velocity.
A velocity–time graph shows how velocity changes with time. From the graph you can read velocity at any instant shown on the plot. The chapter explains that a horizontal line indicates constant velocity and zero acceleration. A straight line sloping upward indicates velocity increasing with constant acceleration, while a straight line sloping downward indicates velocity decreasing with constant acceleration (acceleration opposite to velocity). Velocity–time graphs are especially useful because both acceleration (slope) and displacement (area under the graph) can be obtained from them.
The slope of a velocity–time graph represents acceleration, because slope = (change in velocity)/(change in time). The chapter shows this by selecting two points A and B on the line, forming a triangle, and computing acceleration as BC/CA. For a constant-acceleration motion, the velocity–time graph is a straight line, so the slope (and acceleration) remains constant. A zero slope means no change in velocity, hence zero acceleration.
The area enclosed between the velocity–time graph and the time axis over a time interval represents displacement during that interval. For constant velocity, the area is a rectangle (velocity × time), which equals displacement. For uniformly accelerated motion, the area can be found by splitting it into a rectangle and a triangle (or using the trapezium idea), still giving displacement. The chapter calculates displacement between 10 s and 20 s as 75 m by adding the rectangle area and triangle area.
For motion in a straight line with constant acceleration, the chapter gives three key kinematic equations relating displacement (s), time (t), initial velocity (u), final velocity (v), and acceleration (a): (1) v = u + at, (2) s = ut + (1/2)at^2, and (3) v^2 = u^2 + 2as. These equations allow you to predict position or velocity at a future time, but they are valid only when acceleration is constant.
In straight-line motion, direction matters for displacement, velocity, and acceleration. The chapter explains that in motion in both directions along a line, the signs of u, v, a, and s in the equations indicate direction relative to the chosen positive direction. You may choose the origin and positive direction for convenience (for example, downward positive for a falling object), but once chosen, it should not be changed during the solution. Incorrect sign choice can lead to wrong conclusions about motion.
Using the kinematic equation v^2 = u^2 + 2as with final velocity v = 0 and negative acceleration from braking, the chapter shows that stopping distance increases strongly with initial speed. In Example 4.8, with acceleration –4 m/s², a car moving at 54 km/h (15 m/s) stops in about 28.1 m, while the same car moving at 108 km/h (30 m/s) stops in about 112.5 m. Doubling speed increases stopping distance by about four times in this case.
Uniform circular motion is motion along a circular path with constant (uniform) speed. Even though speed is constant, velocity changes because its direction changes continuously at every point on the circle. Since acceleration occurs whenever velocity changes (in magnitude or direction), uniform circular motion is accelerated motion due to change in direction alone. The chapter illustrates this using an athlete running around tracks with increasing numbers of sides approaching a circle, and explains that the instantaneous velocity is along the tangent to the circle.
In one full revolution around a circle, the distance travelled equals the circumference of the circle, which is 2πR for radius R. However, displacement is zero because the object returns to its starting position, so the net change in position is zero. The chapter applies this to a child on a merry-go-around: average speed over one revolution is (2πR)/T, where T is the time for one revolution, while average velocity over that same interval is 0 because displacement is 0.

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Describing Motion Around Us Flashcards

Revise key terms and definitions from Describing Motion Around Us with interactive flashcards. Quick recall practice for CBSE Class 9 Science.

These flash cards cover important concepts from Describing Motion Around Us in Exploration for Class 9 (Science).

1/20

What is motion?

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Motion is the change in position of an object with respect to a reference point over time.

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2/20

Name the types of motion.

2/20

Linear motion, circular motion, and oscillatory motion are the basic types of motion.

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3/20

What is linear motion?

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Linear motion is the motion of an object moving in a straight line.

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4/20

What is a reference point?

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A reference point is a fixed point used to compare and describe the position of an object.

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Define displacement.

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Displacement is the net change in position of an object and has both magnitude and direction.

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How do total distance and displacement differ?

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Total distance is the entire length of the path traveled, while displacement is the shortest distance from the initial to the final position.

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What is average speed?

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Average speed is the total distance traveled divided by the time taken.

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What is average velocity?

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Average velocity is the displacement divided by the time taken.

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Define average acceleration.

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Average acceleration is the change in velocity divided by the time interval over which it occurs.

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What does a straight line in a velocity-time graph indicate?

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A straight line indicates constant acceleration.

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What does a curved line in a position-time graph indicate?

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A curved line indicates changing velocity or acceleration.

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Why use graphs in motion?

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Graphs visually represent how physical quantities like position and velocity change with time.

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What are kinematic equations?

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Kinematic equations relate displacement, initial velocity, final velocity, acceleration, and time for uniformly accelerated motion.

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What is the formula for the circumference of a circle?

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Circumference (C) = 2πr, where r is the radius.

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What is uniform circular motion?

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Uniform circular motion is motion in a circular path at constant speed.

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What is instantaneous velocity?

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Instantaneous velocity is the velocity of an object at a specific instant.

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What is the SI unit for velocity?

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The SI unit for velocity is meters per second (m/s).

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What's the difference between vector and scalar quantities?

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Vector quantities have both magnitude and direction, while scalar quantities have only magnitude.

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How are distance and time related in uniform motion?

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In uniform motion, distance is directly proportional to time.

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What affects a vehicle's stopping distance?

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Stopping distance is affected by speed, road conditions, and reaction time.

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