When you roll a ball off the edge of a table, the component of velocity that doesn't change as it falls is the ____________________. A) None of these.B) vertical component.C) horizontal component.D) resultant.

C) horizontal component.

The component of velocity that doesn't change as the ball falls is the vertical component. Therefore, the correct answer is B) vertical component.

The correct answer is B) vertical component.

When a ball is rolled off the edge of a table, it experiences two orthogonal components of velocity: the vertical component and the horizontal component.

The vertical component of velocity determines how fast the ball is falling vertically downwards. Gravity acts in the vertical direction and causes the ball to accelerate downwards at a constant rate. This means the vertical component of velocity does not change as the ball falls, assuming no other forces (such as air resistance) are present.

On the other hand, the horizontal component of velocity determines how fast the ball is moving horizontally. Since there are no horizontal forces acting on the ball once it rolls off the edge of the table (assuming an ideal scenario with no air resistance), the horizontal component of velocity remains constant.

Therefore, the component of velocity that doesn't change as the ball falls is the vertical component.