The driver, a 59-year-old man, was arrested and charged with driving offences.
Neither the driver nor the child was injured.
Ruddell said officers were flummoxed that the man sped off again after letting his child out of the car.
"Fleeing driver incidents are incredibly dangerous for all of those involved, including our staff. The officer involved in this incident was amazed that the man chose not to stop initially when he had his child in the car.
"This man is very lucky that in this instance there were no tragic consequences, which can happen if a driver chooses not to stop for police."