Suppose that the initial position of a 1kg object is known to within a nuclear radius --- 10-14m --- and its initial velocity is measured to the accuracy allowed by the uncertainty principle. Assume that no force acts on the object and find its position uncertainty one year later.
It has wandered by 33 nuclear radii in a year.
Now suppose that the initial position of an electron (mass = 9.1×10-31kg) is known to within a nuclear radius and its initial velocity is
measured to the accuracy allowed by the uncertainty principle. Assume that no force acts on the electron and find its position uncertainty one year later.
It has probably left the solar system.