Understanding Why Two Balls Reach the Ground at the Same Time

What factor causes two balls to reach the ground at the same time when thrown from a balcony?

The initial vertical velocities of the balls are the same.

When Rob throws a ball straight out from the balcony and Joan drops a ball straight down at the same time, both balls reach the ground simultaneously. This phenomenon occurs because the initial vertical velocities of the balls are the same.

In the absence of air resistance, the motion of falling objects can be described by the equation for accelerated vertical movement:

H = v0*t + gt²/2

Where 'v0' represents the initial velocity, 'g' is the acceleration due to gravity, 't' is the time. Since the balls reach the ground at the same time, it confirms that their initial vertical velocities are equal.