Here's why:
* Average velocity is calculated by dividing the total displacement by the total time taken. It represents the overall change in position over a period.
* Instantaneous velocity is the velocity of an object at a specific moment in time. It's the derivative of the position function.
When an object moves at a constant velocity, its instantaneous velocity remains the same throughout the entire time interval. Since the velocity is constant, the average velocity calculated over that time interval will be the same as the instantaneous velocity at any point within that interval.
Example:
Imagine a car driving at a constant speed of 60 mph for one hour.
* Average velocity: (60 miles / 1 hour) = 60 mph
* Instantaneous velocity: 60 mph at any point during that hour
In this case, the average velocity and instantaneous velocity are equal because the car's velocity never changes.
