It's an older movie.. Blonde girl was driving that car and officer was following them whole time.. And there was a baby in that car..

Runaway Car (1997 TV movie)
Starring Judge Reinhold, Nina Siemaszko, Brian Hooks
IMDb synopsis:
A nurse apprentice, who had a bad day at work, meets a computer programmer at a car garage. The man is urged to go somewhere, but his car is not ready yet, so the nurse offers him a ride. Before leaving the man, they pick up the nurse's baby nephew. Once on the street, they almost run over a young man. Not knowing if he is hurt, they pick up the man too. But the worst luck begins when the car brakes break down.

Runaway Car (TV Movie 1997) - IMDb (http://www.imdb.com/title/tt0120041/)