Bingo. Don't forget the word 'detained'. Cops can either detain or arrest you. Normally, they will tell you when you are being detained.

Being detained means they may put you in cuffs for their own safety while they try to understand the situation. (Let's say you are involved in a domestic squabble.) You are temporarily under the state's custody but you aren't being charged with anything.

You know what being arrested means. You don't want that.