Heisenberg’s Uncertainty Principle. Why, exactly, can you not know both the velocity and position of a particle?

Question

Heisenberg’s Uncertainty Principle. Why, exactly, can you not know both the velocity and position of a particle?

In: 146

Answer 1

The real equation is likely much more difficult, but assume:

Now also consider that the accuracy of your measurement depends on how small the following is:
velocity * position = accuracy of measurement

If we set the velocity to 0 (or close), we can determine the position of the particle.
If we set the position to 0 (or close), we can determine the velocity of the particle.