Martin Anderson died January 6 at the hospital.
The 14-year-old collapsed after he complained of breathing problems while doing exercises at the camp.
The Bay County sheriff's office has said officers restrained him after he became uncooperative.
The boy's family plans to sue Bay County and the state department of juvenile justice, which oversees boot camp programs.
State representative Gus Barreiro of Miami calls the videotape "horrific," and Representative Dan Gelber says there's no questions excessive force was used.
The state gave the camp a good review in a June 2004 quality assurance report, listing it in full compliance with state standards.