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12 September, 02:40

An airplane is flying at a velocity of 500 miles per hour due north when it encounters a wind blowing out of the west at 50 miles per hour. What is the magnitude of the airplanes resultant velocity? Round your answer to the nearest hundredth.

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  1. 12 September, 03:09
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    V 1 = 500 mph,

    v 2 = 50 mph

    The resultant velocity:

    v r² = v 1 ² + v 2 ²

    v r ² = 500² + 50² = 250,000 + 2,500 = 252,500

    v r = √252,500 = 502.49378 ≈ 502.49 mph

    Answer: the magnitude of the resultant velocity is 502.49 mph.
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