If a freely 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)gt^(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.