I presume you meant to add "and it is caught in foul territory before it hits the ground."
The batter is out because that is the rule. And it's the rule because it's the rule. I can't say any more than that.
If the baseball hit the ground in foul territory, the ball is a foul ball. If the baseball hit the ground in fair territory, and the batter/runner is still in the batter's box when the baseball hits him, it is a foul ball. If the baseball hit the ground in fair territory and the batter/runner is out of the batter's box when the baseball hits him, the batter/runner is out and the ball is dead.
If the batter is outside the batter's box, and is in fair territory when the ball hits them, then yes they are out. If they are in the box, or in foul territory when the ball hits them, it is just a foul ball.
it is a foul.
it depends on the situation. If the count is two strikes then it is an out because if the batter is insied the box then it is a fould ball and a two strike foul ball on a bunt attempt is an out. If there is one strike or zero strikes then the batter can be called out or a foul ball. If he is still in the batter's box and the ball touches him then it is a fould ball but if the batter is outside the batter's box and the ball touches him, then he is out.
When the batter hits the ball into foul territory, and an opposing player catches it in foul territory on the fly.
A ground ball its fair. A fly ball is foul.
It is a foul ball and runners return to the base they occupied at the time of the pitch. If the batter has less than two strikes, it is a strike. If the batter has two strikes, it remains two strikes, unless the batter was bunting, in which case the batter is out.
A foul tip is where the batter has just barely made contact with the ball with his bat and hits in foul territory.
after the batter hits the ball and it's a fair ball it's not a dead ball. if the ball lands in foul territory, it's a foul ball.
Yes. If a foul ball is caught by a defensive player before it hits the ground the batter is out.
A foul tip is when the batter hits the ball with a small piece of the bat and the ball lands foul. A pop up to the catcher is not a foul tip.
its a dead ball and a strike, but not strike 3, just like a foul.