During free fall, when an object experiences only the force of gravity, its vertical and horizontal motions are independent of each other. The horizontal component of velocity remains constant throughout the fall since there is no horizontal force acting on the object.
Therefore, to find the horizontal component of velocity after a vertical drop during free fall, you can use the initial horizontal velocity of the object. If the object was initially at rest in the horizontal direction, then the horizontal component of velocity remains zero throughout the fall.
However, if the object had an initial horizontal velocity (Vx), you can consider it as the horizontal component of velocity after the vertical drop as well. The acceleration due to gravity (g) does not affect the horizontal velocity component.
In summary, if the object had an initial horizontal velocity, that value remains the same after the vertical drop during free fall. If the object was initially at rest in the horizontal direction, the horizontal component of velocity remains zero throughout the fall.