Opposite sign indicates slowing down.

Same sign indicates speeding up.

Concave Downward: Negative acceleration.

Concave Upward: Positive acceleration.

B to C Region: Velocity = -1 m/s (Negative velocity, body returning to origin).

A to B Region: Velocity = 0 (Horizontal).

O to A Region: Velocity = 2 m/s.

B to C Region: Slope = (15 - 10) / (20 - 15) = 1 m/s again.

A to B Region: Slope = 0 (Horizontal line means velocity = 0).

O to A Region: Slope = (10 - 0) / (10 - 0) = 1 m/s.

Simple Example: Given AT graph, find the change in velocity using the area under the curve.

Area under the curve represents change in velocity.

Slope of the Acceleration-Time graph represents 'jerk' (change in acceleration over time, usually not tested).

Combined Example: Interpreting both VT and ST graphs to derive complete motion status over a given period.

Simple Example: Given VT graph, determine acceleration and displacement for O to A and A to B regions.

Area under the graph indicates displacement.

Slope of the Velocity-time graph indicates acceleration (change in velocity over time).

Velocity and Acceleration Concepts:

**Graphs for Accelerated Motion:

Slope of the displacement-time graph for positive or negative direction indicates motion direction (positive slope: forward motion, negative slope: backward motion).

Horizontal ST graph implies zero velocity.

Modified Numerical Example: Different values given, students encouraged to solve similarly.

**Simple Numerical Example: Graph with defined regions O, A, B, C:

Example with cars A and B: Larger angle denotes higher velocity.

Steeper the angle, higher the velocity.

Slope represented by tan(θ).

The angle with the positive x-axis in the graph indicates the slope (velocity).

Recommendations: Practice with multiple graph scenarios to grasp the concept thoroughly.

Practical applications: Deriving velocity, acceleration, displacement from graphical data crucial for solving physics problems.

Review key learnings: Interpretation of different types of motion graphs.

Example Problems

Key Concepts

Example Problems

Key Concepts

Special Cases and Observations

Example Problems

Key Concepts

Slope Calculation: Slope = (y2 - y1) / (x2 - x1). In ST graph, slope represents velocity.

Velocity: Change in displacement over time (slope of the Displacement vs. Time graph).

Displacement vs. Time Graph (ST Graph): Illustrates how displacement changes over time.

Tools: Pen and copy suggested for notes.

Importance: Clarify confusions regarding these graphs and interpret their meanings.

Lecture Topic: Understanding motion graphs (Displacement-Time, Velocity-Time, Acceleration-Time).

Conclusion

Acceleration vs. Time Graph

Velocity vs. Time Graph

Displacement vs. Time Graph

Basic Definitions

Introduction

Lecture Notes on Motion Graphs