From The TimeSplitters Wiki

Baseball Bat
Need Picture
Ammo	Infinite/Infinite
Fire Rate bullets per sec/cartridge time	Unknown
Reload Time	N/A
Damage (per Single Shot) Head/Body/Leg	80%
Type	Melee
Zoom	None
Primary Fire	Swing Bat
Secondary Fire	None
Games	TS3

The baseball bat is first used in the mansion (and is the only place in the story game where you use it). It is better than using your fists, but dont waste your time. It is lethal the closer to the target you are, and can knock off heads if the enemy is a zombie.

Elite Yoshi's Tips

The Baseball bat is a close range combat weapon that will make sure your enemy is dead. It is a wooden bat, no, you can not put it on fire. Its good for close corners, better if you keep it as a back-up weapon.

For more tips, visit the Weapon tips page.