Problema Solution

an airplane is flying at a velocity of 400 miles per hour due north when it encounters a wind blowing due east at 75 miles per hour. What is the magnitude of the airplane's resultant velocity?

Answer provided by our tutors

Using the Pythagorean Theorem we find the magnitude of the airplane's resultant velocity 'v':

v^2 = 400^2 + 75^2

..........

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v = 406.97 mph

The magnitude of the airplane's resultant velocity is 406.97 mph.