Velocity is a vector quantity that describes the rate of change of an object's position with respect to time and includes both speed (magnitude) and direction. It is defined mathematically as:

$\vec{v} = \frac{\Delta \vec{x}}{\Delta t}$

Where:

• $\vec{v}$ is the velocity,
• $\Delta \vec{x}$ is the change in position (displacement),
• $\Delta t$ is the change in time.

Key Points about Velocity:

1. Speed vs. Velocity: Speed is the magnitude of velocity but does not include direction, while velocity includes both.
2. Unit: The SI unit of velocity is meters per second (m/s).
3. Average Velocity: Calculated over a time interval as $\vec{v}_{avg} = \frac{\Delta \vec{x}}{\Delta t}$.
4. Instantaneous Velocity: The velocity of an object at a particular moment in time.
5. Direction Matters: A change in the direction of motion, even at constant speed, results in a change in velocity.

Would you like more details or examples about velocity?

Related Questions:

1. What is the difference between average and instantaneous velocity?
2. How do you calculate velocity from a displacement-time graph?
3. What is the formula for velocity when acceleration is constant?
4. How does velocity differ from acceleration?
5. Can an object have zero velocity but non-zero acceleration?

Tip: Remember, velocity can be negative if the object is moving in the opposite direction relative to a chosen reference point.