Average Velocity (v) = Total Displacement (Δx) / Total Time (Δt)
Explanation:
* Displacement: This is the change in position of an object. It's a vector quantity, meaning it has both magnitude (how far the object moved) and direction.
* Time: This is the total time taken for the displacement to occur.
* Average Velocity: This represents the object's overall speed and direction over the entire trip.
Example:
Imagine a car traveling 100 kilometers east in 2 hours.
* Displacement (Δx): 100 km east (direction is important)
* Time (Δt): 2 hours
* Average Velocity (v): (100 km east) / (2 hours) = 50 km/h east
Important Considerations:
* Direction matters: Average velocity is a vector, so direction is crucial.
* Distance vs. Displacement: Don't confuse distance (total path traveled) with displacement. For example, if you walk 5 meters north and then 5 meters south, your displacement is zero, even though you traveled a total distance of 10 meters.
* Average Velocity vs. Average Speed: Average speed is calculated by dividing the total distance by the total time. Average velocity considers direction, while average speed does not.
Let me know if you'd like to try another example!
