v = Δd / Δt
where:
* v is velocity
* Δd is the change in displacement (final position minus initial position)
* Δt is the change in time (final time minus initial time)
Explanation:
* Displacement (Δd): This represents the overall change in position of an object. It's a vector quantity, meaning it has both magnitude (how far) and direction.
* Time (Δt): This represents the duration over which the displacement occurs.
* Velocity (v): This is a vector quantity that describes both the speed and direction of an object. It tells us how fast and in what direction an object is moving.
Example:
If a car travels 100 meters east in 10 seconds, its velocity is:
v = (100 meters east) / (10 seconds) = 10 meters per second east
Important Notes:
* Velocity is a vector quantity, meaning it has both magnitude and direction. Speed, on the other hand, is a scalar quantity and only represents the magnitude of how fast an object is moving.
* The equation above assumes constant velocity. If the velocity is changing, then we would use calculus to calculate the instantaneous velocity at any given point in time.