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You are in a hot-air balloon that, relative to the ground, has a velocity of 8.0 m/s in a direction due east. You see a hawk moving directly away from the balloon in a direction due north. The speed of the hawk relative to you is 2.0 m/s. What are the magnitude and direction of the hawk's velocity relative to the ground? Express the directional angle relative to due east.
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|dw:1317102294438:dw| \[\sqrt{a ^{2} + b ^{2}}\] will give you the relative velocity the angle would be tan -1 (2/8), giving 14 degrees. http://physics.bu.edu/~duffy/py105/RelativeV.html read the website for better understanding of relative velocity
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