Superb range

A tower of height h h stands on a horizontal ground and a particle is projected with a speed u u from the top so as to hit the ground at the greatest distance from the foot of the tower. What is this distance?

u g \frac ug None of these choices u 2 + 2 g h u^2 + 2gh u g ( u 2 + 2 g h ) 1 2 \frac ug (u^2 + 2gh)^{\frac12}

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