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.

Question

Mathematics

Lorena Heath

17 July, 18:18

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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Answers (1)

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Beau Benton · Answer 1

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.