Two people were killed and three others were injured, including a state trooper, in a series of shootings in Kentucky, authorities said.

Police in Fall River shot and killed a man following an armed standoff at a home early Tuesday morning, according to Bristol District Attorney Thomas M. Quinn III’s office.

From a preliminary investigation, surveillance video from the business showed the vehicle driving off the parking lot surface in what appeared to be an attempt to intentionally hit a pedestrian multi...