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Fleeing or evading can be a felony in Kentucky if the person evading is leaving the scene of a crime or domestic violence. If this is the case, it is a Class D Felony (the lowest felony). This is evading or fleeing police in the first degree.
From the facts your provided it sounds like it is more likely evading or fleeing in the second degree, which is a Class A Misdemeanor.
Here is the statute for evading or fleeing in the second degree--
520.100 Fleeing or evading police in the second degree. (1) A person is guilty of fleeing or evading police in the second degree when: (a) As a pedestrian, and with intent to elude or flee, the person knowingly or wantonly disobeys a direction to stop, given by a person recognized to be a peace officer who has an articulable reasonable suspicion that a crime has been committed by the person fleeing, and in fleeing or eluding the person is the cause of, or creates a substantial risk of, physical injury to any person; or (b) While operating a motor vehicle with intent to elude or flee, the person knowingly or wantonly disobeys a recognized direction to stop his vehicle, given by a person recognized to be a peace officer. (2) No offense is committed under this section when the conduct involved constitutes a failure to comply with a directive of a traffic control officer. (3) Fleeing or evading police in the second degree is a Class A misdemeanor.
Any crime is serious, but as long as its a misdemeanor it will probably not carry any serious jail time or penalty. It is always a good idea to hire an attorney to ensure that you can serve as little time and pay as small as fine as possible, and also have the charge reduced (if possible).
I would hire an attorney if you can afford it, and if not, request the public defender.
I hope this has been helpful. Please let me know if you need more information.
Thanks and good luck!