The rocks of the earth would of tended to be wanting to go straight in the direction the earth was moving, prevented these rocks from shooting into the sun, and tending to want to be going straight would of caused them to roll out of the earths gravity and move farther away from the sun, toward the asteroid fields,
An amusing and, of course, totally incorrect exposition of orbital mechanics.
A rock "ejected" from the Earth could (I think) orbit the Earth, it could definitely orbit the Sun, or is could leave the Solar system entirely. If it went into Solar orbit, its orbit would continue to touch the Earth's orbit until interactions with other objects modified its orbit. The likelihood of any one rock "ejected" from the Earth winding up in the asteroid belt is minuscule, the likelihood of several rocks "ejected" from the Earth winding up in the asteroid belt is is infinitesimal, and it is essentially impossible that any large number of rocks "ejected" from the Earth would wind up in the asteriod belt.