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BUTTTTT Lets take air resistance into the equation..
You would fall, with the maximum acceleration being at the start of your fall. The acceleration would zero out at the centre of the planet, but your velocity by then would cause you to continue through, with gravity now trying to pull you in the opposite direction (back to the centre) and with its power increasing the further you went. If we neglect air resistance, your velocity would be *just* sufficient to get you to the surface on the other side of the planet, at which point you would then start falling back down. If we don't neglect air resistance, there will be a damping effect on your yo-yo'ing, causing you to 'stop' further from each surface on every oscillation.
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