According to the Supreme Court opinion in Terry v.Ohio,a stop justified at its beginning can:

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The Supreme Court in Terry v. Ohio held that a stop must be justified at its inception by specific, articulable facts giving rise to a reasonable suspicion that criminal activity is afoot. However, the Court also cautioned that the scope of the stop must be reasonably related to the circumstances that justified the stop in the first place, and that the stop must not be too prolonged or intrusive. Therefore, a stop may become unjustified if it is too extensive in scope. A stop cannot be justified on mere hunches alone, and the stopping officer cannot have any scope they want. Additionally, the reason for the stop does not have to be for violent crimes specifically.

According to the Supreme Court Opinion in Terry V