If the initial and final velocities are equal, it means that the object or system is not changing its velocity over time. In this case, the velocity remains constant, and there is no change in speed or direction. When there is no change in velocity, the acceleration is zero.
Acceleration is defined as the rate of change of velocity. Mathematically, it is calculated as the change in velocity divided by the time taken for that change. If the velocities at the initial and final points are the same, the change in velocity is zero since there is no difference between the initial and final velocities. Therefore, the acceleration is also zero.
In simpler terms, acceleration is the measure of how quickly an object's velocity is changing. If the velocities are equal, it means there is no change in velocity, and hence there is no acceleration.