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Sort of. But if the ball passes withing any appreciable distance of a black hole, star, planet, planetary body, moon, comet, asteroid, space rock or anything else with mass, it may be affected enough to slow it, change its course, or be captured by whatever it is that "grabs" it with gravity. If you're talking about launching the ball from out in deep space, like the nothingness between galaxies, it's pretty much going to go a long way before anything happens to it (if anything does). Under those conditions, the ball may travel "toward" infinity. Will it actually travel infinitely? We can't know. For all practical purposes, it might be said that it will travel infinitely.

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Q: If we apply Newton's first law of motion to a ball being thrown in the vacuum of space with a force will the ball move infinitely?
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