A ball is thrown vertically upwards with some speed. It reaches two points A and B one after another such that heights of A and B are one fourth and three-fourth of the maximum height attained. If the

Question

A ball is thrown vertically upwards with some speed. It reaches two points A and B one after another such that heights of A and B are one fourth and three-fourth of the maximum height attained. If the total time of flight is T , the maximum time taken by the ball to travel from A to B , is :-

TestHub · Accepted Answer

T = 2 g 2 h ​ ​ ⇒ g 2 h ​ ​ = 2 T ​ Maximum time between A to B is = t AO ​ + t OB ​ = g 2 ( 4 3 h ​ ) ​ ​ + g 2 ( 4 h ​ ) ​ ​ = 2 T ​ ( 2 3 ​ ​ + 2 1 ​ ) = 4 T ( 3 ​ + 1 ) ​

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