A body starts falling freely from height H hits an inclined plane in its path at height h. As a result of this perfectly elastic impact, the direction…

Question

A body starts falling freely from height H hits an inclined plane in its path at height h. As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of H/h for which the body will take the maximum time to reach the ground is _____.

MARKS Content Team · Accepted Answer

Correct answer: 2. Total time of flight =T can be written as, T=√2hg+√(2H-hg) For maximum time =dT/dh=0 ⇒√2g1/(2√h)-1/(2√(H-h))=0 ⇒√(H-h)=√h ⇒h=H/2⇒H/h=2

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A body starts falling freely from height H hits an inclined plane in its path at height h. As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of Hh for which the body will take the maximum time to reach the ground is _____.

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