Frank Q. Jackson, 24, faces charges of simple assault on a police officer, illegal window tint, and failure to comply, flee, or elude.
Parma police pulled Jackson over Saturday at 12:30 a.m.
Body camera and dash camera video showed Jackson drive away as police tried to pull him out of the vehicle when he refused to consent to a search.
Police followed him, but lost the vehicle in a chase that dispatch recordings show hit speeds of more than 100 mph.
Jackson turned himself in Monday.
He remains in the Cuyahoga County Jail, where he appeared in court via video.
The judge set his bond at $10,000.
He had to pay 10% to be released, which he did later Wednesday morning.
The judge also ordered his case to go to the grand jury.
Jackson also has a pending domestic violence case and has previously been arrested for assault.