Final answer:
Acceleration involving only a change in direction occurs when the velocity changes in direction but not in magnitude.
Step-by-step explanation:
Acceleration is defined as a change in velocity, which can involve a change in magnitude, direction, or both. In the case of a change in direction only, such as when a car turns a corner, there is still an associated acceleration because the direction of the velocity is changing. This sideways acceleration is more noticeable with sharper curves and higher speeds. So, acceleration involving only a change in direction occurs when velocity changes in direction but not in magnitude.