A ball rolls off the edge of a table with a fairly large horizontal velocity. Which of the following statements are true? (Select all that apply.) A.The vertical velocity is constantly increasing as the ball falls. B.The horizontal velocity does not noticeably change as the ball falls. C.The horizontal velocity decreases significantly as the ball falls through the air. D.The ball will take more time to fall to the floor than if it had been dropped with no horizontal velocity. E.The acceleration of the ball changes throughout its flight through the air. F.The ball will take less time to fall to the floor than if it had been dropped with no horizontal velocity. G.The horizontal velocity does not affect how long it will take the ball to fall to the floor. H.The velocity vector of the ball changes as it travels through the air.

 The correct statements regarding the ball rolling off the edge of the table with a fair amount of horizontal velocity are:

A. The vertical velocity is constantly increasing as the ball falls. This is true because gravity is pulling the ball down, increasing its vertical velocity at a constant rate (acceleration due to gravity).

B. The horizontal velocity does not noticeably change as the ball falls. Assuming there is no air resistance, the horizontal velocity would remain constant because no horizontal forces are acting upon the ball.

G. The horizontal velocity does not affect how long it will take the ball to fall to the floor. The time it takes for the ball to hit the ground is determined by the vertical motion, which is independent of the horizontal motion.

H. The velocity vector of the ball changes as it travels through the air. The vertical component of the velocity is changing due to gravity, while the horizontal component remains constant in the absence of air resistance; therefore, the overall velocity vector (which combines both vertical and horizontal components) changes in direction.

The following statements are not true:

C. The horizontal velocity decreases significantly as the ball falls through the air. This would only be the case if there was significant air resistance or another horizontal force, which is not typically the case in such a scenario.

D. The ball will take more time to fall to the floor than if it had been dropped with no horizontal velocity. The time to fall depends only on the vertical component of motion, which is unaffected by horizontal velocity.

E. The acceleration of the ball changes throughout its flight through the air. In the absence of air resistance, the only acceleration affecting the ball is gravity, which is constant.

F. The ball will take less time to fall to the floor than if it had been dropped with no horizontal velocity. This is not true for the same reasons explained in D; the horizontal motion does not influence the time taken to fall.