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28 March, 11:06

A privet plane is traveling due east at a rate of 150 mph. A south wind is blowing 50 mph. What is the actual velocity of the plane?

A. 141 mph

B. 158 mph

C. 172 mph

D. 200 mph

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  1. 28 March, 13:07
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    So we want to know what is the velocity of the private plane that is traveling east with velocity ve=150 mph and if the wind is blowing west with velocity vw=50 mph. So the overall velocity is v=sqrt (ve^2 + vw^2). Now we input the numbers: v=sqrt (150^2 + 50^2) = sqrt (22500+2500=sqrt (25000) = 158.11 mph. So the correct answer is B. 158 mph.
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