Police say a woman was driving in the city's southwest in the early morning when she noticed she was being followed by a silver sedan.
The car activated red-and-blue lights to pull her over, but she became suspicious when the driver got out and shone a flashlight in her face.
The woman called 911 and drove away, but the car followed her until she got to a police station.
Police say a man was pulled over in a similar fashion a short time later, but the suspicious vehicle sped away.
Impersonating an officer is a criminal offence.
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