Answer: The times will be the same for both balls
Explanation:
For the kicked ball, if it's kicked horizontally off the cliff, it has both horizontal and vertical motion. The time it takes for the ball to hit the ground is determined solely by its vertical motion because gravity acts vertically downward. The horizontal motion doesn't affect the time it takes to fall vertically because these motions are independent of each other.
Therefore, the time it takes for the kicked ball to hit the ground will be the same as the time it takes for a dropped ball to fall the same vertical distance. This is because the vertical motion is determined by the height of the cliff alone, and the horizontal motion doesn't change that.
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