The projectile of weight W is fired from ground level with 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 travels vertically upward at speed { v }_{ 1 } , determine the distance between the fragments after they strike the ground. Neglect the size of the gun. Given: W = 10 lb , { v }_{ A } = 80 ft/s , { v }_{ 1 } = 12 ft/s , θ = 60 deg , g = { 32.2ft/s }^{ 2 }