The terrifying wreck happened in Midtown early Monday morning, near Madison Square Garden -- you see a black Mercedes whip around before flooring it toward cops and a food cart, while people scream in fear.

The smashed cart ends up on top of a woman -- though it doesn't appear to be Carrie -- as bystanders try to pull her out from under it. Unphased, the reckless driver continues down the street before the chase eventually comes to an end.

As we reported, the "Black Panther" star's mom, Patricia, has been updating fans about her daughter's condition ... showing a photo of Carrie hooked up to machines in the hospital after the gruesome ordeal.

Patricia said Carrie was with a friend and stopped at a food truck before the car took it down, knocking her unconscious and pinning her underneath. It's unclear when during the ordeal Carrie was struck.

The actress ended up undergoing surgery after her serious injuries, which included chipped teeth and broken bones ... and her family has been asking for thoughts and prayers while Carrie continues on the road to recovery.