A ball is thrown up with a certain velocity so that it reaches a height h . Find the ratio of the two different times of the ball reaching h 3 in both the directions.

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TestHub · Accepted Answer

u = 2 g h Now, S = h 3 , a = - g S = u t + 1 2 a t 2 h 3 = 2 g h t + 1 2 - g t 2 t 2 g 2 - 2 g h t + h 3 = 0 From quadratic equation t 1 , t 2 = 2 g h ± 2 g h - 4 g 2 h 3 g t 1 t 2 = 2 g h - 4 g h 3 2 g h + 4 g h 3 = 3 - 2 3 + 2

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