Uncertainty particle function evolves over time

[faen]

Homework Statement

The position of a proton is measured with an accuracy of $$\Delta$$x = 10^-11 m
Calculate $$\Delta$$x one second later. Assume v << c.

Homework Equations

Heisenbergs uncertainty principle perhaps.

The Attempt at a Solution

I assume this requires knowledge about how the particle function evolves over time, but because the function is unknown in this case, its random how it evolves...

 

[faen]

Thought a bit more about it. If i calculate the uncertainty in momentum by using Heisenbergs uncertainty principle. Then multiply it by t and divide by m, to calculate $$\Delta$$x a second after. Does this sound right?

 

[pam]

Add that answer to Delta x.