Why the point right below the center of a rolling ball on the ball has zero instantaneous velocity

Question

Suppose there is a snooker ball rolling on a table. The velocity of the center of the ball is Rω and its direction is horizontally right. I don't understand why the point right below the center on the ball has zero instantaneous velocity. Much obliged if anyone can help me.

Answer 1

The ball is rolling along positive x direction with velocity v. The points of the ball directly below the center are rotating around the center of the ball in the -x direction with instantaneous velocity u equal to the distance from the center of the ball times the angular velocity of the ball. Where v = u you have the condition you are looking for.
Truly there is a line below the center of the ball perpendicular to the direction of v where all points on the line have the same zero instantaneous velocity.