A BALL IS DROPPED A HEIGHT AT THE SAME TIME AS ANOTHER BALL IS PROJECTED HORIZONTALLY FROM THE SAME HEIGHT. 1.WILL THE BALLS HIT THE GROUND AT THE SAME TIME. 2.EXPLAIN YOUR ANSWER IN (1).
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1. Yes, the balls will hit the ground at the same time.
2. To explain why the balls will hit the ground at the same time, we need to consider two important principles: the principle of vertical motion and the principle of horizontal motion.
The first principle, the principle of vertical motion, states that in the absence of air resistance, all objects fall to the ground with the same acceleration due to gravity. This means that regardless of their initial velocities or paths, all objects will have the same vertical acceleration and will take the same amount of time to fall the same vertical distance.
The second principle, the principle of horizontal motion, states that an object in horizontal motion will continue to move horizontally at a constant velocity unless acted upon by an external force. In this case, the horizontal motion of the ball projected horizontally will not be affected by the vertical motion of the dropped ball.
Considering these principles, we can conclude that the balls will hit the ground at the same time. While the horizontally projected ball will move horizontally away from the point of projection, it will still fall vertically at the same rate as the dropped ball. Therefore, both balls will cover the same vertical distance and take the same amount of time to reach the ground.