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Question

A stone is projected with a initial velocity at an angle to the horizontal. A small piece separates from the stone before the stone reaches its maximum height. Then this piece will

A
fall to the ground vertically
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B
fly side by side with the parent stone along parabolic path
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C
fly horizontally initially and will trace a different parabolic path
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D
lag behind the parent stone, increasing the distance from it.
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Solution

The correct option is B fly side by side with the parent stone along parabolic path
The piece will fly side by side along a parabolic path, since the horizontal velocity will not change and remains the same from initial to final point. The vertical component of velocity, at the instant it separates from the stone is same as that of the stone's vertical component.
Hence, the piece will fly side by side.

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