Here's why:
* Instantaneous velocity is the velocity of an object at a specific point in time.
* Average velocity is the total displacement divided by the total time taken.
If the velocity is constant, the object's speed and direction are not changing. Therefore:
* The instantaneous velocity will be the same at every point in time during the motion.
* The average velocity will also be the same as the constant velocity because the displacement is directly proportional to the time elapsed.
Example:
Imagine a car driving at a constant speed of 60 km/h in a straight line.
* Instantaneous velocity at any point in time will be 60 km/h.
* Average velocity over any time interval will also be 60 km/h.
Key takeaway: For instantaneous velocity to be equal to average velocity, the object's motion must be uniform (constant speed and direction).
