Kinematics: Motion in One Dimension

Introduction

• Kinematics means motion.
• It analyzes the motion of physical objects.
• Today we will focus on one-dimensional motion.

Components of Kinematics

1. Distance
   • Scalar quantity (no direction).
2. Displacement
   • Vector quantity (has direction).
3. Speed
4. Velocity
5. Acceleration
6. Jerk

Definition of One Dimensional Motion

• One-dimensional motion is motion that occurs in a straight line.
• Real-life examples include walking, driving a car, etc.

Understanding Distance and Displacement

• Distance represents the various paths taken by an object.
• Displacement is the shortest distance between the start and end points.
• Example: Various paths from A to B - the shortest path is the displacement.

Relationship between Distance and Displacement

• Distance is always greater than or equal to displacement.

Speed and Velocity

Speed:

• Definition: Distance per unit time.
• Formula: Average Speed = Total Distance / Total Time.
• It is a scalar quantity.

Velocity:

• Definition: Displacement per unit time.
• Formula: Average Velocity = Total Displacement / Total Time.
• It is a vector quantity.

Some Important Questions

1. Motion between A and B:
   • Example: Finding the ratio of displacement and distance when moving from A to B in a semicircle.
2. Moving around a Circle:
   • Understanding the operation of displacement from A to B as R².

Brain Sharpening Game

• Pause and solve the questions.

Conclusion

• In the upcoming lecture, we will discuss static and instantaneous speed and velocity in detail.