It happened around 10:12 p.m. Wednesday on the 400 block of West Hunting Park Avenue.
Police said the driver of grey Chrysler 300 with tinted windows was traveling eastbound and struck 52-year-old Ralphi Rosario.
Police released images of the vehicle on Friday night.
Witnesses said Rosario was walking to a food truck when he was hit.
"This victim was hit so hard that he was forced out of his sneakers," said Philadelphia Police Chief Inspector Scott Small. "His body was launched and he was pronounced dead on the scene."
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Police said the driver stopped before speeding away only to circle back, return to the scene, then take off again.
Authorities said the vehicle will either be a missing right rear hub cap or will using a spare tire.
Anyone with information should contact police at 215-685-3180.