MIAMI — The video, shot with a hand-held camera, shows brawny Miami police officers breaking down doors and hauling handcuffed African-American suspects off some of the city’s toughest streets. “We hunt,” one officer says in the five-and-a-half-minute clip. “I like to hunt.”

But it was not a source of embarrassment for Miami’s police chief, Miguel A. Exposito. The video was part of a reality television pilot, “Miami’s Finest SOS,” a project with the enthusiastic backing of Chief Exposito. “Our guys were proactively going out there, like predators,” he says during his cameo in the video, which surfaced online in January.

A few weeks later, a Miami police officer shot and killed a black man during a traffic stop at North Miami Avenue and 75th Street in the Little Haiti neighborhood. The man, Travis McNeil, 28, was unarmed and never left the driver’s seat of his rental car when he was shot once in the chest, members of his family said.

Mr. McNeil was the seventh African-American man to be shot and killed by Miami police officers in eight months. The shootings in this racially polarized city have led to marches on the Police Department’s headquarters and calls for a Justice Department investigation, and the city manager has initiated an investigation into the chief’s record.