If pitch hits ground in fastpitch baseball then hits the batter does he go to first?

A pitched ball can hit the ground before crossing home-plate. In most cases the batter would not swing and the pitch would be called a ball. But, if the batter decides the swing, the ball is still in play after hitting the ground and the batter may not hit the ball and receive a strike, or he may foul the ball, or hit a base-hit.