**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.

Discover what velocity is, how it differs from speed, and how to calculate it using displacement and time. This page covers key kinematics concepts, including velocity formulas, average and instantaneous velocity, and why direction matters. Ideal for students in Grades 9-12.

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