Car A has weight { W }_{ A } and is traveling to the right at speed { v }_{ A } Meanwhile car B of weight { W }_{ B } is traveling at speed { v }_{ B } to the left. If the cars crash head-on and become entangled, determine their common velocity just after the collision. Assume that the brakes are not applied during collision. Given: { W }_{ A } = 4500 lb , { W }_{ B } = 3000 lb , { v }_{ A } = 3 ft/s , { v }_{ B } = 6 ft/s , g = { 32.2ft/s }^{ 2 }