A stone dropped from the top of a tower travels `(5)/(9)` th of the height of tower during the last second of fall. Height of the tower is: (Take `g = 10 m//s^(2)`)

Options

A. 52 m
B. 36 m
C. 45 m
D. 78 m

Answer

C

Explanation

`H = (1)/(2) gT^(2)`
`(4)/(5) H = (1)/(2) g (T - 1)^(2)`