How to derive galileo law of odd numbers step by step?

The Galileo’s law of odd numbers states that the distances traveled are proportional to the squares of the elapsed times. In other words, in equal successive periods of time, the distances traveled by a free-falling body are proportional to the succession of odd numbers(1, 3, 5, 7, etc.).

 

 

Dear student 

Youneed to know the application.

Refer the link 

Good Luck 

you should know when and where to use this rule so refer either sheet or this clink 

https://www.askiitians.com/forums/AIPMT/where-to-use-s-proportional-to-tsquare-and-gallili_229199.htm