The officers tried to contact 19 year old Lindsey Jennings as she was sitting in her vehicle.
Police say Jennings backed at a high rate of speed colliding with an occupied Lubbock Police vehicle.
Jennings then lead police in a car chase before colliding with another vehicle at 8100 Slide Road.
Jennings attempted to flee on foot but was apprehended.
Police placed Jennings under arrest on a charge of aggravated assault on a peace officer.