A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in t 1 . If it is projected vertically downwards from the same point with the same speed, it reach

Question

A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in t 1 ​ . If it is projected vertically downwards from the same point with the same speed, it reaches the ground in t 2 ​ . Time required to reach the ground, if it is dropped from the top of the tower, is :

TestHub · Accepted Answer

​ t 1 ​ = g u + u 2 + 2 gh ​ ​ t 2 ​ = g − u + u 2 + 2 gh ​ ​ t = g 2 gh ​ ​ t 1 ​ t 2 ​ = g 2 ( u 2 + 2 gh ) − u 2 ​ = g 2 2 gh ​ = t 2 ⇒ t = t 1 ​ t 2 ​ ​ ​

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