A 6-lb game bird flying due east 45 ft above the ground with a velocity vB = (30 ft/s)i is hit by a 2-oz arrow with a velocity vA = (180 ft/s)j + (240 ft/s)k, where j is directed upward. Determine the position of the point P where the bird will hit the ground, relative to the point O located directly under the point of impact.