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A jetliner has an air speed of 500 mph. A 200-mph wind is blowing from west to east. (a) The pilot heads due north. In what direction does the plane fly, and what is its ground speed? (Hint: Define a frame of reference 5' that moves with the wind. In Sf there is no wind; hence the plane always moves in the direction it is headed, at 500 mph. Use the velocity transformation to find the components of the plane's velocity in the ground frame.) (b) In what direction should the pilot head in order to fly due north? What is the plane's ground speed in this case?

A jetliner has an air speed of 500 mph. A 200-mph wind is blowing from west to east. (a) The pilot heads due north. In what direction does the plane fly, and what is its ground speed? (Hint: Define a frame of reference 5' that moves with the wind. In Sf there is no wind; hence the plane always moves in the direction it is headed, at 500 mph. Use the velocity transformation to find the components of the plane's velocity in the ground frame.) (b) In what direction should the pilot head in order to fly due north? What is the plane's ground speed in this case?

College Physics
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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A jetliner has an air speed of 500 mph. A 200-mph wind is blowing from
west to east.
(a) The pilot heads due north. In what direction does the plane fly, and what
is its ground speed? (Hint: Define a frame of reference 5' that moves with the wind. In Sf there is no wind; hence the plane always moves in the direction it is
headed, at 500 mph. Use the velocity transformation to find the components of
the plane's velocity in the ground frame.)
(b) In what direction should the pilot head in order to fly due north? What is
the plane's ground speed in this case?

1.3. A jetliner has an air speed of 500 mph. A 200-mph wind is blowing from west to east. (a) The pilot heads due north. In what direction does the plane fly, and what is its ground speed? (Hint: Define a frame of reference S' that moves with the Galilean Relativity | 25 wind. In S' there is no wind; hence the plane always moves in the direction it is headed, at 500 mph. Use the velocity transformation to find the components of the plane's velocity in the ground frame.) (b) In what direction should the pilot head in order to fly due north? What is the plane's ground speed in this case?
Transcribed Image Text:1.3. A jetliner has an air speed of 500 mph. A 200-mph wind is blowing from west to east. (a) The pilot heads due north. In what direction does the plane fly, and what is its ground speed? (Hint: Define a frame of reference S' that moves with the Galilean Relativity | 25 wind. In S' there is no wind; hence the plane always moves in the direction it is headed, at 500 mph. Use the velocity transformation to find the components of the plane's velocity in the ground frame.) (b) In what direction should the pilot head in order to fly due north? What is the plane's ground speed in this case?
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