If a freely falling body covers half of its total distance in the last second of its journey, Find its time of fall.

Explanation

Suppose t is the time of free fall.
`h=(1)/(2)g t^(2)…….(1)`
`(h)/(2)=(1)/(2)g(t-1)^(2)..........(2)`
Solving 1, 2 `t=(2+sqrt(2))s`
since `2-sqrt(2)` is not acceptable.