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Assuming 0 friction, you would accelerate all the way to the center of the earth, then as you passed the center you would start to slow down. Eventually you would stop at the same distance from the center you started at and fall back in again, repeating the whole process. Forever.
Edit: purely theoretical, of course, since there IS friction and you would probably be burned to death long before ever reaching the core. Not to mention, if the core of the earth really is liquid it would probably spill into your hole. We're pretending none of these problems exist, though.
SpaceAce
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