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Question

A juggler throws two balls to the same height so that one is at the halfway point going up when the other is at the halfway point coming down At that point

A
Their velocities and accelerations are equal
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B
Their velocities are equal but their accelerations are equal and opposite
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C
Their accelerations are equal but their velocities are equal and opposite
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D
Their velocities and accelerations are both equal and opposite
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Solution

The correct option is B Their accelerations are equal but their velocities are equal and opposite
Their accelerations are equal. Gravity is accelerating the one going downwards, and deccelerating the one going up, and gravity is a constant. Since gravity is the only accelerating force acting on them, their acceleration is equal, (9.8m/s2 downwards.) However, their velocities are not equal. They are opposite (one is going up, one's going down.)

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