Final answer:
The point near the center of the carousel has greater angular velocity, while the point near the outer edge has greater linear velocity.
Step-by-step explanation:
The point near the center would have the greater angular velocity and the point near the outer edge would have the higher linear velocity. Linear velocity refers to the speed at which an object moves along its path in a straight line. Since the point near the outer edge of the carousel covers a larger distance in the same amount of time as the point near the center, it experiences a greater linear velocity. Angular velocity, on the other hand, refers to the speed at which an object rotates around a fixed axis. The point near the center of the carousel has a smaller distance to cover in the same amount of time compared to the point near the outer edge, resulting in a greater angular velocity.