This film is part of the Edgar Wright 'Car Car Land' season at Picturehouse Central. You can find all the details here.
Chicago Reader review of Vanishing Point:
After driving nonstop from San Francisco to Denver, a silent macho type (Barry Newman) accepts a bet that he can make it back again in 15 hours; a blind DJ named Super Soul (Cleavon Little) cheers him on while the cops doggedly chase him. While Richard Sarafian's direction of this action thriller and drive-in favorite isn't especially distinguished, the script by Cuban author Guillermo Cabrera Infante (writing here under the pseudonym he adopted as a film critic, G. Cain) takes full advantage of the subject's existential and mythical undertones without being pretentious, and you certainly get a run for your money, along with a lot of rock music. With Dean Jagger and Victoria Medlin.
Here (and above) is the trailer.