Jun 10, 2024

**Lecturer:** Abhishek Mercedes

- Purpose: To cover all definitions, important topics, and formulas of the motion chapter within 15 minutes.
- Recommendation: Watch the video before exams to refresh concepts.
- Further Resources: Links to detailed sessions are available in the description and cards.

- Encouragement to like, comment, and subscribe if viewers want more videos on topics like Gravitation, Work, Energy, Power, and Sound.

- Definition: Total path covered by an object.
- Properties: Always positive or zero, cannot be negative.
- Quantity Type: Scalar
- Units: Meters

- Definition: Shortest distance between the initial and final positions of an object.
- Properties: Can be positive, zero, or negative.
- Quantity Type: Vector
- Units: Meters

- Definition: Distance covered per unit time.
- Formula:
`Speed = Distance / Time`

- Properties: Always positive or zero
- Quantity Type: Scalar
- Units: Meters per second (m/s)

- Definition: Total distance covered divided by total time taken.
- Formula:
`Average Speed = Total Distance / Total Time`

- Properties: Always positive or zero
- Quantity Type: Scalar
- Units: Meters per second (m/s)

- Definition: Displacement per unit time.
- Formula:
`Velocity = Displacement / Time`

- Properties: Can be positive, zero, or negative
- Quantity Type: Vector
- Units: Meters per second (m/s)

- Definition: Total displacement divided by total time taken.
- Formula:
`Average Velocity = Total Displacement / Total Time`

- Properties: Can be positive, zero, or negative
- Quantity Type: Vector
- Units: Meters per second (m/s)

- Definition: Object covers equal distances in equal intervals of time.

- Definition: Object covers unequal distances in equal intervals of time.

- Definition: Rate of change of velocity.
- Formula:
`a = (v - u) / t`

- Properties: Can be positive, zero, or negative
- Quantity Type: Vector
- Units: Meters per second squared (m/s┬▓)

- Purpose: To store a lot of information in a compact form.
- Types of Graphs:
- Linear Graph: Represents uniform motion.
- Non-linear Graph: Represents non-uniform motion.
- Parallel to Time Axis: Indicates stationary object (distance remains constant over time).

- Purpose: Similar to Distance-Time Graph but for velocity.
- Key Points:
- Linear Graph: Represents constant acceleration (non-uniform motion).
- Parallel to Time Axis: Indicates uniform motion (velocity remains constant).

- Slope of Distance-Time Graph: Gives speed.
- Slope formula:
`Slope = ╬Фy / ╬Фx`

(Vertical axis / Horizontal axis) - Slope of Velocity-Time Graph: Gives acceleration.
- Area Under Velocity-Time Graph: Gives displacement.

**First Equation:**`v = u + at`

**Second Equation:**`s = ut + 1/2 at┬▓`

**Third Equation:**`v┬▓ - u┬▓ = 2as`

- Symbols:
`v`

: Final velocity`u`

: Initial velocity`a`

: Acceleration`t`

: Time`s`

: Displacement

- Definition: Object moves in a circle with constant speed.
- Key Points:
- Direction changes continuously; hence velocity changes continuously.
- It's not uniform motion despite constant speed because of direction change.
- Constant speed but varying velocity leads to acceleration.
- Formula to find velocity in circular motion: Tangent to the point of the circle.

- Encouragement to comment if interested in more topics.
- Reminder to review the calculations of velocity, speed, and other variables in the comments for more clarity.