In Newtonian physics, free fall is any motion of a body where gravity is the only force acting upon it.
The equation of position of the free falling object is:
If we take three successive droplets the equations will be:
where T is the period of coming out droplets from the tube.
If we substruct equation 2 from equation 1 and equation 3 from equation 2 we have:
and from equations (5) and (4) we get:
and finally:
Free falling objects
Source: YouTube (Brian Cox visits the world's biggest vacuum | Human Universe - BBC)