Difference Between Distance and Displacement Class 9 | Easy Physics Explanation

Understanding the difference between distance and displacement class 9 is one of the most important topics in Physics. Many students get confused because both terms seem similar, but they are completely different concepts.

In this article, you will learn:

  • What is distance?
  • What is displacement?
  • Difference between distance and displacement class 9
  • Real-life examples
  • Formula and SI unit
  • Comparison table
  • Numerical examples
  • FAQs

By the end of this article, you will clearly understand the difference between distance and displacement class 9 in a simple and easy way.


What is Distance?

Distance is the total length of the actual path travelled by an object during motion.

It tells us how much ground an object has covered without considering direction. Distance is always positive.

Example:

If a boy walks:

  • 4 m east
  • then 3 m west

Total distance = 4 + 3 = 7 m

So, the total path covered is called distance.


What is Displacement?

Displacement is the shortest straight-line distance between the initial position and final position of an object.

Unlike distance, displacement also includes direction. It is a vector quantity.

Example:

If a person walks:

  • 4 m east
  • then 3 m west

Final position = 1 m east from starting point

So, displacement = 1 m east


Difference Between Distance and Displacement Class 9

The difference between distance and displacement class 9 can be understood easily using the table below.

DistanceDisplacement
Total length of actual path travelledShortest distance between initial and final position
Scalar quantityVector quantity
Has only magnitudeHas magnitude and direction
Direction is not consideredDirection is important
Always positiveCan be positive, negative, or zero
Depends on actual pathDepends only on initial and final position
Cannot be zero if motion occursCan be zero
Denoted by dddDenoted by Δx\Delta xΔx or sss
Distance ≥ DisplacementDisplacement ≤ Distance

Formula of Distance and Displacement

Distance Formula

Distance=Total Path Length\text{Distance} = \text{Total Path Length}Distance=Total Path Length

Distance is calculated by adding the entire path travelled.


Displacement Formula

Displacement=xfxi\text{Displacement} = x_f – x_iDisplacement=xf​−xi​

Where:

  • xfx_fxf​ = Final position
  • xix_ixi​ = Initial position

SI Unit of Distance and Displacement

The SI unit of both distance and displacement is:

SI Unit=metre (m)\text{SI Unit} = \text{metre (m)}SI Unit=metre (m)


Real-Life Example of Distance and Displacement

Imagine a student walks around a playground and returns to the starting point.

  • Total path covered = 400 m
  • Final position = Starting position

Therefore:

  • Distance = 400 m
  • Displacement = 0 m

This is one of the best examples to understand the difference between distance and displacement class 9.


Important Points About Distance and Displacement

Distance

  • Scalar quantity
  • Never negative
  • Depends on complete path
  • Measured using odometer in vehicles

Displacement

  • Vector quantity
  • Can be zero
  • Has direction
  • Always shortest path

When Distance and Displacement Become Equal

Distance and displacement become equal when an object moves:

  • In a straight line
  • In one direction only
  • Without changing direction

Example:

A car moves 20 m east in a straight line.

  • Distance = 20 m
  • Displacement = 20 m east

Can Displacement Be Zero?

Yes, displacement can become zero.

This happens when the starting point and ending point are the same.

Example:

A runner completes one full round of a circular track and returns to the starting point.

  • Distance ≠ 0
  • Displacement = 0

Numerical Example

A boy walks:

  • 5 m north
  • then 12 m east

Find Distance

Distance = 5 + 12

Distance=17m\text{Distance} = 17\,mDistance=17m


Find Displacement

Using Pythagoras theorem:

s=52+122s = \sqrt{5^2 + 12^2}s=52+122​s=25+144s = \sqrt{25 + 144}s=25+144​ s=169s = \sqrt{169}s=169​

s=13ms = 13\,ms=13m

So,

  • Distance = 17 m
  • Displacement = 13 m

Why is Distance Always Greater Than or Equal to Displacement?

Displacement measures the shortest path between two points, while distance measures the entire path travelled.

Therefore:

DistanceDisplacement\text{Distance} \geq \text{Displacement}Distance≥Displacement


FAQs on Difference Between Distance and Displacement Class 9

1. What is the main difference between distance and displacement?

Distance is the total path travelled, while displacement is the shortest straight-line distance between starting and ending points.


2. Is distance a scalar quantity?

Yes, distance is a scalar quantity because it has only magnitude.


3. Is displacement a vector quantity?

Yes, displacement is a vector quantity because it has both magnitude and direction.


4. Can displacement be negative?

Yes, displacement can be negative depending on direction.


5. Can distance be zero?

No, distance cannot be zero if an object moves.


Conclusion

Now you clearly understand the difference between distance and displacement class 9.

Distance tells us the total path travelled, while displacement tells us the shortest distance between two points along with direction.

Remember:

  • Distance is scalar
  • Displacement is vector
  • Distance depends on path
  • Displacement depends only on starting and ending positions

This topic is extremely important for Class 9 Physics and forms the base for understanding motion, speed, and velocity later.

This article is part of The HSB School’s Class 10 Science series. Also read: Difference Between Speed and Velocity | Difference Between Mass and Weight | Difference Between Heat and Temperature

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