A body starts falling freely from height H and hits an inclined plane in its path at height h. As a result of this perfectly elastic impact, the direction of velocity becomes horizontal. The value of H/h for which the body will take the maximum time to reach the ground i s ____. Image
Physics · Center of maas , Momentum and Collision · collision and types of collision
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Question

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

Physics · Center of maas , Momentum and Collision · collision and types of collision

G1 Physics · Accepted Answer

Image Total time: T = √[2(H - h)/g] + √(2h/g) For maximum time: dT/dh = 0 This gives: √(H - h) = √h H - h = h Therefore, H/h = 2