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.
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.
