I just studied Heisenberg's uncertainty principle in school and I came up with an interesting problem.
Assume an electron which is moving very slowly and we observe it with a distance uncertainty of say $\Delta x=1\times10^{-13} \text{ m}$ if we try finding uncertainty of velocity using the formula $$\Delta x \cdot \Delta v\ge \frac{h}{4\pi m}$$ $$\Delta v=578838179.9 \text{ m/s}$$
Which is clearly greater than the speed of light but that is not possible. How did physicists overcome this challenge?

I just studied Heisenberg's uncertainty principle in school and I came up with an interesting problem.
Assume an electron which is moving very slowly and we observe it with a distance uncertainty of say $\Delta x=1\times10^{-13} \text{ m}$ if we try finding uncertainty of velocity using the formula $$\Delta x \cdot \Delta v\ge \dfrac{h}{4\pi m}$$ $$\Delta v=578838179.9 \text{ m/s}$$
Which is clearly greater than the speed of light but that is not possible. How did physicists overcome this challenge?

I just studied Heisenberg's uncertainty principle in school and I came up with an interesting problem.
Assume an electron which is moving very slowly and we observe it with a distance uncertainty of say $\Delta x=1.10^{-13} \text{ m}$ if we try finding uncertainty of velocity using the formula $$\Delta x \cdot \Delta v\ge \frac{h}{4\pi m}$$ $\Delta v=578838179.9 \text{ m/s}$
Which is clearly greater than the speed of light but that is not possible. How did physicists overcome this challenge?

I just studied Heisenberg's uncertainty principle in school and I came up with an interesting problem.
Assume an electron which is moving very slowly and we observe it with a distance uncertainty of say $\Delta x=1\times10^{-13} \text{ m}$ if we try finding uncertainty of velocity using the formula $$\Delta x \cdot \Delta v\ge \frac{h}{4\pi m}$$ $$\Delta v=578838179.9 \text{ m/s}$$
Which is clearly greater than the speed of light but that is not possible. How did physicists overcome this challenge?