If a baseball were thrown at an infinite velocity on a line drive, it would have several extraordinary consequences, but it's important to note that this scenario is purely hypothetical as it goes against the laws of physics.
Infinite Kinetic Energy: As the baseball's velocity approaches infinity, its kinetic energy would also tend towards infinity. The energy of the ball would increase without bound, violating the fundamental principle of conservation of energy.
Infinite Momentum: The momentum of an object is the product of its mass and velocity. If the baseball were thrown at an infinite velocity, its momentum would also be infinite. This would create a situation where the ball carries an immeasurable amount of momentum, which again contradicts the laws of physics.
Disruption of Space-Time: As the velocity of the baseball approaches the speed of light (but still remains finite), relativistic effects would come into play. However, reaching an actual infinite velocity is not possible within the framework of relativity. If somehow the baseball were to exceed the speed of light, it would violate causality and lead to paradoxes, such as time travel or violations of the principle that no information can travel faster than light.
In summary, the concept of an object reaching infinite velocity is not consistent with our understanding of physics. The behavior and consequences of such an event are beyond the scope of our current scientific understanding.