The car ran up on the sidewalk in the 64-hundred block of Glenmore Avenue, where the two officers were investigating another case.
They jumped out of the way and the car crashed into a home.
Police say the driver then sped off, hitting two parked cars before overturning.
A woman inside the car told police the driver kidnapped her. Investigators say the two know each other and were involved in a domestic disturbance.
No one was seriously injured.
