Here's a breakdown:
* Magnitude: The magnitude of velocity is the speed of the object, which is how fast it is moving. This is measured in units like meters per second (m/s), kilometers per hour (km/h), or miles per hour (mph).
* Direction: The direction of velocity specifies the direction in which the object is moving. This could be north, south, east, west, or any other direction.
Formula:
Velocity (v) can be calculated using the following formula:
```
v = Δx / Δt
```
Where:
* Δx is the change in position (displacement)
* Δt is the change in time
Important Notes:
* Average Velocity: The average velocity over a given time interval is calculated by dividing the total displacement by the total time.
* Instantaneous Velocity: The instantaneous velocity is the velocity of an object at a specific point in time. This is often represented by the derivative of the position function with respect to time.
Example:
If a car travels 100 meters in 10 seconds, its average velocity is 10 m/s (100 meters / 10 seconds). If we also know the car traveled east, then its average velocity would be 10 m/s east.
Key Differences from Speed:
* Speed is a scalar quantity, meaning it only has magnitude (how fast).
* Velocity is a vector quantity, meaning it has both magnitude and direction.
Understanding the difference between speed and velocity is crucial in physics, as it affects calculations and interpretations of motion.
