A 5.0 kg shell is fired vertically upward. At its max height of 350.0 m, it explodes into 3 pieces. A 1.0 kg chunk lands 15.0 m away, 45O due northeast from the launch site. A second 1.0 kg piece lands 25.0 m, 60O south of east from the launch site. If all 3 pieces land at the same time on the (level) ground, where does the third piece land?