Question

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.

Answer 1

Answer:

A.The vertical velocity is constantly increasing as the ball falls.

B.The horizontal velocity does not noticeably change as the ball falls.

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.

Explanation:

As the ball is projected horizontally so here the vertical component of the velocity is zero

So the time to reach the ground is given as

$H = \frac{1}{2} gt^2$

so we will have

$t = \sqrt{\frac{2H}{g}}$

so this is the same time as the ball is dropped from H height

Since there is no force in horizontal direction so its horizontal velocity will always remain constant while vertical velocity will change at constant rate which is equal to acceleration due to gravity.

So overall the velocity vector will change due to net acceleration g