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Would a projectile fired in space and assuming there were no stars or planets in the way, would the projectile continue on to infinity, since the x-component of the projectile's velocity never changes from it's original?

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Assuming the projectile had enough velocity to escape the gravitational potential of the "projector" (system that fired it). And assuming that space-time is otherwise basically flat.

Then, Yes.

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So wait, the projectile itself has a gravitational pull? –  LordZardeck Nov 3 '11 at 2:42
    
@LordZardeck: I assumed that the projectile was fired by something else and the two will be gravitationally attracted. –  Simon Nov 3 '11 at 3:03
    
Wow, didn't know that. cool. –  LordZardeck Nov 3 '11 at 3:10

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