CHICAGO — An agency that investigates Chicago police conduct released dramatic videos on Friday showing two officers firing their guns at a fleeing stolen car in a fast-paced, chaotic clash last week that led to another officer fatally shooting an unarmed 18-year-old black man in the back.

The videos were taken on July 28 from police body cameras and dashboard cameras, with some of the images jumbled as the officers ran, and the sound punctuated by gunfire and the officers’ own shouting and labored breathing. They show two officers firing at least 10 rounds in the span of three or four seconds at a stolen Jaguar after it narrowly missed hitting one of the officers.

Seconds later, the Jaguar crashed head-on into a police S.U.V. and an occupant of the stolen car, Paul O’Neal, fled on foot. He disappeared from view behind a house as officers gave chase, and then several more shots rang out. Shortly afterward, officers are seen gathering around Mr. O’Neal, handcuffing him as he lay on the ground, and talking to each other about what had just happened.

What the videos do not show is the fatal shooting itself. The officer who shot Mr. O’Neal was wearing a body camera, but officials have said it was not recording; the Police Department said it was investigating whether the device was not turned on or if it had malfunctioned, and why. The medical examiner’s office reported that he was shot in the back.