What are the formula of falling objects for find its time, distance, and acceleration? How to manipulate the formula for the falling object?

The SUVAT equations are a set of equations used to describe motion with constant acceleration in one dimension.

SUVAT equations - Wikipedia, the free encyclopedia (http://en.wikipedia.org/wiki/SUVAT_equations)

If you wish to include things such as air resistance, then you need more complex equations.