How does displacement change with time for a falling object? How might you describe the mathematical relationship between the velocity and time of a falling object?

The displacement change with time for a falling object increases with time. In this case, the equation that describes the displacement of the falling object is described in x = 0.5 gt^2 where x is the displacement, g is the acceleration of gravity equal to 9.8 m/s2 or 32 ft/s2 and t is time.