If a police officer or a professional like a doctor came to your face and started cussing at you over and over again, that would be considered assault.
Assault/Battery
Historically, laws treated the threat of physical injury as "assault", and the completed act of physical contact or offensive touching as "battery," but many states no longer differentiate between the two. (Your case probably)
Assault
An assault invoves:
1. An intentional, unlawful threat or "offer" to cause bodily injury to another by force;
2. Under circumstances which create in the other person a well-founded fear of imminent peril;
3. Where there exists the apparent present ability to carry out the act if not prevented.
Note that an assault can be completed even if there is no actual contact with the plaintiff, and even if the defendant had no actual ability to carry out the apparent threat. For example, a defendant who points a realistic toy gun at the plaintiff may be liable for assault, even though the defendant was fifty feet away from the plaintiff and had no actual ability to inflict harm from that distance.
Battery
A battery is the willful or intentional touching of a person against that person’s will by another person, or by an object or substance put in motion by that other person. Please note that an offensive touching can constitute a battery even if it does not cause injury, and could not reasonably be expected to cause injury. A defendant who emphatically pokes the plaintiff in the chest with his index finger to emphasize a point may be culpable for battery (although the damages award that results may well be nominal). A defendant who spits on a plaintiff, even though there is little chance that the spitting will cause any injury other than to the plaintiff's dignity, has committed a battery.
