Astone is thrown vertically upward from the roof of a building. does the position of the stone depend on the location chosen for the origin of the coordinate system?

Displacement is the difference between two co-ordinates so the origin doesn't matter.

Explanation:

       Instantaneous velocity = d/dt (position vector)

      d = vt + 1/2 at² is the displacement acceleration equation.

      d = u + at is the velocity displacement equation.

Displacement always has continuity with velocity and Acceleration.The average velocity is 0 if the displacement is 0.