pitch
Throw
a club
evict or eject
batter, better, bitter, bottle, battle, butter, butler, ballet
Trees = paper
toss
toss
Throw
towel
Bunt - it's where the batter holds the bat in front of the plate and taps the ball into play instead of swinging at it.
recycle
a large rock
throw, below, shrew
Pitcher is a seven letter word that deals with baseball, if thats what you meant.
'Evict' would work.
batter
One word that fits this definition is eject. Another would be trash.