The sport is called Squash because when you hit the ball on a solid structure, the ball tends to "squash" on impact.
Yes you drop the bat after you hit the ball.
he is out because the ball has hit the bat
A "Baseball Bat," it used in a sport called, Baseball. What it is, is either a wooden, or aluminum bat, ranging from 20" -sometimes 40". It is used to hit the ball that is pitched down the plate, you swing it with your arms, and the ball will bounce of the bat. There are rules though. If you end up putting a cork in your bat, (which makes the ball bounce off the bat harder) and if they find out, you could get suspended, or even kicked out of the Baseball league.
The Ball will go further with the metal bat.
An at-bat is in baseball, the opportunity given to a player to hit the ball.
the metal bat
If the ball hits the batter's hand before it hits their bat, it is a hit by pitch and the batter takes first base. If the ball hits the bat first it is a foul ball.
I think you are thinking squash.