In baseball, a batted ball is any ball that, after a pitch, is contacted by the batter's bat. One or more of several terms are used to describe a batted ball, depending on how it comes off the bat and where in the field it lands.
There are generally three descriptive categories for balls hit in the air:
A ground ball or grounder is a batted ball that rolls or bounces on the ground. A line drive in the infield may become a hard grounder to an outfielder; these are usually called line drives regardless.
Bunts are generally not considered to be ground balls; they are a distinct type of batted ball, where the batter, in effect, tries to 'block' the ball with the bat held steady, rather than taking a full swing.
Any of the above types of balls might be fair balls or foul balls. Umpires will also signal first signal fair or foul on fly outs near the foul line, but the result of a foul fly out (or foul out) is no different from a fair fly out; it is not a foul ball.
A foul tip, a very different type of batted ball, is a ball tipped off the bat which goes straight back almost as if the bat missed it and is caught by the catcher. It's sometimes hard to tell if a batter has foul-tipped a ball unless you are close enough to hear the contact. A foul tip is always a strike, even if there are two strikes on the batter. If the catcher does not catch the batted ball coming straight back, it is an ordinary foul ball.
Many other terms are used within the game and by writers, reporters, and play-by-play announcers to describe batted balls. For example, the List of baseball jargon mentions base knock, bleeder, blooper, comebacker, daisy cutter, dying quail, flare, frozen rope, ground ball with eyes, nubber, salami, scratch hit, squibber, and other terms.