A fireworks show is choreographed to have two shells cross paths at a height of 138 feet and explode at an apex of 176 feet under normal weather conditions. If the shells have a launch angle 0 = 60° above the horizontal, determine the common launch speed vo for the shells, the separation distance d between the launch points A and B, and the time t from launch at which the shells explode.

A fireworks show is choreographed to have two shells cross paths at a height of 138 feet and explode at an apex of 176 feet under normal weather conditions. If the shells have a launch angle 0 = 60° above the horizontal, determine the common launch speed vo for the shells, the separation distance d between the launch points A and B, and the time t from launch at which the shells explode.