yes, if it is a fly ball and it gets caught, any base runner can try to go to the next base. for example, a runner on third tags up on a fly ball. the right fielder catches it in foul territory. as long as the runner on third is on the base or goes back and touches it after leading off, she can try to steal home.
as high as you can hit it in foul territory
the ball has to land in fair territory to be considered fair.
It's still foul cause the ball was hit in foul territory. Whether a ball is fair or foul is based on the position of the ball when it is touched. Since the ball was touched when the ball was in foul territory, it would be a foul ball.
foul ball
The "fairness" of the ball depends on the rules in that particular stadium. In the 2004 playoffs a ball hit the catwalk in Houston in fair territory and was caught in fair territory, but was ruled foul, because of the rules at minute maid park. On the other hand in Minnesota, a ball atriking the catwalk is automatically fair whether it lands in fair territory or not.
safe
A batter is not charged with an at bat when he is credited with a sacrifice fly or sacrifice bunt. The main issue is the umpire's judgement: did the batter purposely sacrifice himself in order to move up the runner(s) with less than 2 outs? If so-- and if the runners did move up or score successfully-- he shall not be charged with an at bat. Baseball's accounting therefore does not penalize a batter if he sacrificed himself for the team's benefit. (An at bat with a fly or bunt out would lower the batter's batting average.) Source: Official Baseball Rules 10.08
if they're in foul territory or on base then no.
It can be either. If the ball is hit into the air and is in foul territory at any time, it counts as a foul ball if it goes into the stands. If the ball is in the air and is in fair territory when it goes into the stands, it's a home run. If the ball is in fair territory and hits the ground, then bounces into the stands in fair territory, it's a ground rule double. If the ball bounces in fair territory but then bounces into the stands in foul territory past the infield, it's also a ground rule double. If the ball bounces in fair territory, but then bounces into the stands before it passes 1st or 3rd base, it's a foul ball.
foul. the only time you can field a foul ball is if you catch it in the air.
The runner is out unless they are on the bag in time .If the runner is in foul territory, it is just counted as foul.
A Fair ball is any ball that either 1)lands in fair territory in the outfield (including hitting the wall) 2) hits or bounces over first or third base 3) leaves the park between the foul poles or hitting the foul poles (home run) 4) is first touched by a fielder in fair territory 5)stops moving with being touched in fair territory, and 6) did not hit the batter. Any ball that is not fair, is foul.