To acquit someone is to clear them of charges. Acquitting also has to do with how you carry or present yourself.
If you're accused of a crime, then the best thing that can happen to you is being acquitted — that means you were cleared or exonerated of the charges. A defense lawyer wants to have his client acquitted. But watch out for another unrelated meaning: acquitting can mean how you behave, conduct, or carry yourself. If you acquit yourself like a champion, then you're acting like a champion.