Final answer:
Angular acceleration represents the rate of change of angular velocity when a soccer ball is in contact.
Step-by-step explanation:
The physical quantity that represents the rate of change of angular velocity when a soccer ball is in contact is angular acceleration. Angular acceleration is the rate of change of angular velocity with respect to time. It describes how quickly the angular velocity of an object changes over time.
An example of this is when a soccer player kicks the ball and imparts a rotational force, causing the ball to start spinning. The angular acceleration determines how quickly the ball's angular velocity changes from zero to its final value.