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## Homework Statement

A body falling from rest from given height H hits an inclined plane in its path at height. As a result of this impact the direction of velocity of the body becomes horizontal. For what value of h/H will body take max time to reach the ground?

ANS) h/H = 1/2

## Homework Equations

Newtons equations of motion

Projectile equations

## The Attempt at a Solution

v

^{2}= u

^{2}+ 2as

v

^{2}= 2 * 10 * (H-h)

now time of flight of projectile from inclined plane

T = 2*v*sinx/g*cosy (x being angle of projection and y angle of incline)

this has to be equal to time of projectile dropped with no initial velocity

T = (2h/g)

^{1/2}

equating and substituting i get the answer to be

h/H = 4/5

(which is not the correct answer)

Please help!