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Question

A boy has two identical balls, A and B. He throws Ball A from the top of a building in the upward direction, whereas he simply drops Ball B at the same time. Which of the following statements is false regarding balls A and B?

A
Both the balls hit the ground at the same time.
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B
Both the balls hit the ground with the same speed.
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C
Ball B hits the ground with more speed than Ball A.
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D
All of the above
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Solution

The correct option is D All of the above
When Ball A reaches its maximum height, its velocity is zero. At this time, the situation is similar to Ball A being dropped from a greater height. Now, compare this situation to Ball B being dropped, and that too from a lower height. Since Ball A is dropped from a greater height, it will take more time to reach the ground (using the second equation of motion).

Besides, to reach the position of maximum height, Ball A has taken some time. Meanwhile, Ball B has already covered some distance. Hence, this further increases the time gap between the balls reaching the ground.

Also, the ball dropped from a greater height will accelerate for more time and have more speed.

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