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A projectile is fixed on a horizontal gr...

A projectile is fixed on a horizontal ground. Coefficient of restitution between the projectile and the ground is 'e'. If `a,b` and `c` be the ration of time of flight `[(T_(1))/(T_(2))]`, maximum height `[(H_(1))/(H_(2))]` and horizontal range `[(R_(1))/(R_(2))]` in first two collisions with the ground, then

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