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  4. A ball is thrown vertically upwards with a velocity of 25 text ms-1 from the top of a tower of height 30 m . How long will it travel before it hits ground?

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Q. A ball is thrown vertically upwards with a velocity of $ 25\text{ }m{{s}^{-1}} $ from the top of a tower of height $ 30\, m $ . How long will it travel before it hits ground?

KEAMKEAM 2007Motion in a Straight Line

Solution:

$ s=ut+\frac{1}{2}g{{t}^{2}} $
$ \therefore $ $ 30=-25t+\frac{10}{2}{{t}^{2}} $
or $ {{t}^{2}}-5t-6=0 $
or $ (t-6)(t+1)=0 $
$ \therefore $ $ t=6\,s $