Surveillance video appears to show off-duty officer Wayne Isaacs shooting Delrawn Small as he approached his car in East New York in July 2016.
The jury of five men and seven women began deliberating Thursday after closing arguments concluded.
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Isaacs took the stand in his own defense Wednesday.
His attorneys say he acted in self-defense.
Small's widow will speak out after the closing arguments.
This is the first trial prosecuted by the New York Attorney General, who was appointed as special prosecutor in an executive order signed by the Governor for cases where unarmed civilians are killed by police officers.
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Isaacs is charged with second-degree murder. He was a police officer in the 79th Precinct.
Authorities believe the officer and victim, a father of three, may have been engaged in a road rage incident for several blocks.
Isaacs faces 25 years to life in prison if convicted.