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1) An eighteen-wheeler, weighing in at 16800 kg. is lumbering along at a modest 15m/s. with a direction of 100 degrees (from the x-axis). A speeding dump-truck, unable to stop in time collides with this eighteen-wheeler. If the dump-truck was traveling at 13.41 m/s. and weighs 7000kg., what is the velocity vector of the twisted and mangled remains of the truck, which stuck together?

2) If the eighteen-wheeler in problem 1 above saw the dump-truck coming and could avoid a collition, if it could come to a stop in 12 seconds, how much force would the brakes have to apply to the truck?

3) If the dump-truck in problem 1 saw the eighteen-wheeler and jammed on his brakes, which, in turn, applied a force of 6000 N, how long would it take the dump-truck to come to a stop?

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