As well as families, recreational and sporting users, it has become increasingly popular with businesses operating fitness classes.
It is unclear whether congestion was a factor in Sunday's accident, in which a car is believed to have accelerated in reverse suddenly.
Road policing Senior Sergeant John Fagan said a woman's Honda vehicle had become stuck after its front wheels rolled over a kerb.
Members of the public helped her push the car out.
As the car gained traction it sped backwards.
Police say the driver tried to brake but her jandal became wedged between the brake and accelerator pedals.
The car collided with the woman, and pinned her against another parked car. Police are investigating the crash and whether charges will be laid.