Uncertainty particle function evolves over time

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Homework Statement



The position of a proton is measured with an accuracy of \Deltax = 10^-11 m
Calculate \Deltax 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...
 
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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 \Deltax a second after. Does this sound right?
 
Add that answer to Delta x.
 

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