The projectile of weight W is fired from ground level with an initial velocity { v }_{ A } in the direction shown. When it reaches its highest point B it explodes into two fragments of weight W/2. If one fragment is seen to travel vertically upward, and after they fall they are a distance d apart, determine the speed of each fragment just after the explosion. Neglect the size of the gun. Given: W = 10 lb , θ = 60 deg , { v }_{ A } = 80 ft/s , g = { 32.2ft/s }^{ 2 } , d = 150 ft