Officers are appealing for information following reports of a road traffic collision on Waterloo Road, Stoke-on-Trent.
At 1:42pm on Thursday 28 October, a black Ford Focus and a van collided.
The driver of the Ford Focus made-off shortly afterwards.
A 25-year-old man, from Manchester, who was a passenger in one of the vehicles, was arrested under suspicion of dangerous driving.
He has since been released from custody under investigation.
A woman was also arrested following a positive drugs swipe, but was later released with no further action.
The driver of the vehicle was believed to be wearing a black hooded coat, a white t-shirt, grey joggers and black trainers.
Anyone with any information or relevant dashcam footage should message Staffordshire Police on Facebook or Twitter, quoting incident number 300 of 28 October. Alternatively, contact Crimestoppers anonymously on 0800 555 111.