If a body is projected vertically up, its velocity decrease to half of its initial velocity at a height ′h′ above the ground. Then maximum height reached by it is ph3. Find the value of p.

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answer is 4.

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Detailed Solution

From A to B, v2=u2+2as⇒u22=u2-2gh⇒u2=8gh3……….(1)From A to C, v2=u2+2as⇒0=u2-2gH⇒u2=2gH………..(2) Equating (1) and (2)8gh3=2gH⇒H=4h3

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