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  4. A body dropped from the top of a tower covers a distance 7x in the last second of its journey, where x is the distance covered in first second. How much time does it take to reach the ground?

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Q. A body dropped from the top of a tower covers a distance $ 7x $ in the last second of its journey, where $ x $ is the distance covered in first second. How much time does it take to reach the ground?

Jharkhand CECEJharkhand CECE 2011

Solution:

Given, $ 7x=\frac{g}{2}(2n-1) $
and $ x=\frac{1}{2}g{{(1)}^{2}} $
Solving these two equations
$ n=4s. $