It would enter an orbit based on how much momentum it had. If you were able to get it to escape earth's atmosphere, it might be in orbit around Earth until it decayed from friction with the small amount of atmosphere that's up there.

If you managed to chuck it hard enough to escape Earth's gravity, then it would enter solar orbit and would have a similar orbital path as Earth and the two may eventually intercept again, and it would return to earth.

If you managed to escape solar gravity... quite a feat! And it would exit the solar system and travel until it encountered something to pull it into its gravity well.