an airplane is heading due east at the speed of 550 mi/h (246m/s) relative to the ground. the jet stream is blowing 30.0 degrees north of east with a speed of 53.0 mi/h (23.7m/s). determine the magnitude and direction of the jet stream velocity as measured in the airplane

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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an airplane is heading due east at the speed of 550 mi/h (246m/s) relative to the ground. the jet stream is blowing 30.0 degrees north of east with a speed of 53.0 mi/h (23.7m/s). determine the magnitude and direction of the jet stream velocity as measured in the airplane

Expert Solution
Step 1

In this problem total velocity is the sum of velocity of plane and wind

Physics homework question answer, step 1, image 1

Where, Vw = velocity of the wind

              Vp = velocity of the plane

Step 2

Since the velocity of the plane in X- direction is zero so, total velocity in X-direction is given by,

Physics homework question answer, step 2, image 1

Total velocity in Y-direction is given by

Physics homework question answer, step 2, image 2

Hence total velocity is given by

Physics homework question answer, step 2, image 3

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