The Mazda Familia has now been found abandoned in the Clifton Terrace car park.
Police believe it was stolen and are looking for the occupants, believed to be two men and a woman in their mid-twenties.
The police spokesperson said the crash happened in a public place with a lot of foot traffic, which was surrounded by offices.
They're appealing for people to get in touch if they witnessed the crash or noticed a trio of people running from the area shortly before 2pm.
Anyone with information can report it anonymously through Crimestoppers, on 0800 555 111.