Describing Motion Around Us-Graphical Representation of Motion Science Exploration Class 9 In English-CBSE Notes


Last Updated : August 2, 2026

Explore NCERT Solutions for Class 9 science exploration Chapter Describing Motion Around Us Topic Graphical Representation of Motion with simple explanations and free ncert solution in English.

Class 9 Science Exploration Exploration Chapter 4 Describing Motion Around Us Graphical Representation of Motion

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Describing Motion Around Us-Graphical Representation of Motion Science Exploration Class 9 In English-CBSE Notes

Describing Motion Around Us

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Graphical Representation of Motion

Chapter 4. Describing Motion Around Us

This section explains the graphical representation of motion. Motion graphs help us understand how the position, speed, velocity and acceleration of an object change with time. They make it easier to compare different types of motion and solve numerical problems.

25. Graphical Representation of Motion

A graph is a visual method of representing the relationship between two physical quantities. In the study of motion, graphs are drawn by taking time on the X-axis (horizontal axis) and another physical quantity on the Y-axis (vertical axis).

Importance of Motion Graphs

  • Easy Interpretation – Motion can be understood quickly.
  • Comparison – Different types of motion can be compared easily.
  • Numerical Problems – Helps calculate speed, velocity, acceleration and displacement.
  • CBSE Competency Questions – Graph-based questions are frequently asked in examinations.

26. Position–Time Graph

A position-time graph shows how the position of an object changes with time.

Axes

  • X-axis – Time (t)
  • Y-axis – Position (x)

Interpretation

  • Horizontal Line – Object is at rest.
  • Straight Inclined Line – Uniform motion.
  • Curved Line – Non-uniform motion.

Postion-time graph

Figure (i) Position–Time Graph

  • Horizontal line → Object at rest
  • Straight inclined line → Uniform velocity
  • Curved line → Changing velocity

Slope of Position-Time Graph

The slope of a position-time graph represents the velocity of the object.

 

27. Distance–Time Graph

A distance-time graph shows how the distance travelled by an object changes with time.

Axes

  • X-axis – Time
  • Y-axis – Distance

Distance Time Graph

Figure (ii) Distance–Time Graph

  • Straight line → Uniform speed
  • Curved line → Non-uniform speed
  • Slope = Speed

Interpretation

Graph Meaning
Horizontal Line Object is at rest.
Straight Line Uniform speed.
Curved Line Changing speed (non-uniform motion).

Important Point

The slope of a distance-time graph gives the speed of the object.

28. Velocity–Time Graph

A velocity-time graph shows how the velocity of an object changes with time.

Axes

  • X-axis – Time
  • Y-axis – Velocity

Velocity Time Graph

Figure (iii) Velocity–Time Graph

  • Horizontal line → Constant velocity
  • Slope = Acceleration
  • Area under graph = Displacement

Interpretation

  • Horizontal Line – Uniform velocity.
  • Upward Sloping Line – Positive acceleration.
  • Downward Sloping Line – Negative acceleration (retardation).
  • Line on X-axis – Zero velocity.

 

Slope of Velocity-Time Graph

The slope of a velocity-time graph gives the acceleration.

Area Under Velocity-Time Graph

The area enclosed between the graph and the time axis represents the displacement of the object.

29. Acceleration–Time Graph

An acceleration-time graph shows how the acceleration of an object changes with time.

Axes

  • X-axis – Time
  • Y-axis – Acceleration

Accelaration graph

Figure (iv) Acceleration–Time Graph

  • Horizontal line above X-axis → Constant acceleration
  • Below X-axis → Retardation
  • On X-axis → Zero acceleration

Interpretation

  • Horizontal Line Above X-axis – Constant positive acceleration.
  • Horizontal Line Below X-axis – Constant negative acceleration.
  • Line on X-axis – Zero acceleration.

30. Graph Interpretation Skills

Students should carefully observe the shape and slope of a graph before drawing conclusions.

Quick Rules

  • Steeper Distance-Time Graph – Greater speed.
  • Steeper Position-Time Graph – Greater velocity.
  • Steeper Velocity-Time Graph – Greater acceleration.
  • Horizontal Graph – Quantity remains constant.
  • Curved Graph – Quantity changes continuously.

31. Difference Between Motion Graphs

Graph Slope Represents Area Represents
Position–Time Velocity Not Used
Distance–Time Speed Not Used
Velocity–Time Acceleration Displacement
Acceleration–Time Rate of Change of Acceleration Change in Velocity (Advanced Concept)

32. Common Mistakes Made by Students

  • Confusing Distance-Time and Position-Time Graphs – Remember that position includes direction, while distance does not.
  • Ignoring the Slope – Always calculate or observe the slope before answering.
  • Misinterpreting Curved Graphs – A curve usually indicates changing speed or velocity.
  • Forgetting Units – Always write proper SI units on graph axes.

33. ATP Education Exam Booster

  • Position–Time Graph → Slope = Velocity.
  • Distance–Time Graph → Slope = Speed.
  • Velocity–Time Graph → Slope = Acceleration.
  • Velocity–Time Graph → Area under the graph = Displacement.
  • Horizontal Line → Quantity remains constant.
  • Straight Inclined Line → Uniform motion.
  • Curved Line → Non-uniform motion.

ATP Education Tip

Graph-based questions are among the most scoring questions in CBSE examinations. Always remember these three golden rules: Distance-Time Graph → Speed, Position-Time Graph → Velocity, Velocity-Time Graph → Acceleration and Area → Displacement. Once these relationships are clear, most graph-based questions become easy to solve.

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CBSE Notes for Class 9 science exploration Chapter Describing Motion Around Us – Graphical Representation of Motion

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