the ball thrown the brick wall bounces directly back with the same speed it had when it struck the wall . has the velocity of the ball change explain ?

In order to determine if the velocity of the ball changes when it bounces off the brick wall, we need to understand what velocity means. Velocity is a vector quantity that includes both speed and direction. If either the speed or the direction changes, then the velocity changes.

When the ball strikes the brick wall, it exerts a force on the wall, causing it to deform and compress. This force is known as the impact force. The wall exerts an equal and opposite force on the ball, called the reaction force, which causes the ball to rebound.

During the collision, the ball experiences a change in both speed and direction. The speed changes because some of the kinetic energy of the ball is transferred to the wall during the impact. However, if we assume an ideal situation with no loss of energy, the ball bounces back with the same speed it had before the collision. This is because the reaction force from the wall acts to restore the ball's initial speed.

Although the ball's speed remains constant after the bounce, the direction of the velocity does change. Before the bounce, the ball moves towards the wall, and after the bounce, it moves away from the wall. This change in direction means that the velocity of the ball changes, even though the speed remains the same.

In summary, the velocity of the ball changes because its direction changes, while the speed remains constant (assuming no energy loss). Velocity is a vector quantity that takes both speed and direction into account, so any change in either of these components leads to a change in velocity.