* Vertical Motion: The time it takes for an object to fall to the ground depends solely on its vertical motion. Both balls have the same initial vertical velocity (zero) and are subject to the same acceleration due to gravity.
* Horizontal Motion: The horizontal velocity of the launched ball has no impact on its vertical motion. The balls will fall at the same rate, regardless of their horizontal speed.
Think of it this way:
Imagine you drop a ball straight down from a table. Now, imagine you roll another ball off the same table at the same time. Both balls will hit the ground at the same instant because their vertical motion is identical.