A rigid ball cannot roll purely without friction while maintaining constant velocity on a rigid surface, as friction is necessary for the tangential force that enables rolling. Without friction, the ball would either slide or spin in place, lacking the necessary interaction to achieve both horizontal movement and rotation. The inertia of the ball would require an external force to initiate motion, as the two motions of spinning and horizontal velocity would remain independent in a frictionless scenario. The discussion also suggests that while theoretical conditions could be imagined, they do not apply to our physical universe. Therefore, friction is essential for true rolling motion.