A jet airliner moving initially at 2.95 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 27.0° north of east. (Let the x-direction be eastward and the y-direction be northward.)  What are the speed and direction of the aircraft relative to the ground?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 1P: A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.00...
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A jet airliner moving initially at 2.95 ✕ 102 mi/h due east enters a region where the wind is blowing at 1.00 ✕ 102 mi/h in a direction 27.0° north of east. (Let the x-direction be eastward and the y-direction be northward.)

 What are the speed and direction of the aircraft relative to the ground? 

magnitude 

direction

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