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Two birds traveling at right angle to each other, collide, and hold on to each other...

Two birds traveling at right angle to each other, collide, and hold on to each other during collision. The two birds have masses 3.04 kg and 8.78 kg. The smaller bird is traveling with the speed 18.1 m/s, and the larger bird is traveling with the speed 15.98 m/s. What is the speed of the two birds after the collision, to two decimal places? Hint: you need to make an assumption about the birds' initial direction of travel.
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