What kind of accuracy can it have? It will have to pass through many different layers of air, moving very fast. Even a small nudge will be magnified when you multiply it by 1,000 miles.
I assume that they'll have models that correct for all of that, and I assume they'll have satellite weather included for up-to-the-minute data on all of the factors involved. (Either that or I'm guessing wrong about the effects of those things.)
Assuming all of that... what kind of precision are we talking about? Can they hit a building? A tank?