* Acceleration is the rate of change of velocity. This means it measures how quickly the velocity is increasing or decreasing.
* Constant velocity means no change in velocity. If the velocity is staying the same, it's not increasing or decreasing.
* Zero change in velocity means zero acceleration. Since the velocity is not changing, the rate of change (acceleration) is zero.
Think of it visually:
* A constant velocity on a time graph is a straight horizontal line.
* The slope of the line represents the acceleration. A horizontal line has a slope of zero.
In conclusion: A constant velocity graph always implies zero acceleration.