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phy121
Your 'cq_1_22.1' report has been received. Scroll down through the document to see any comments I might have inserted, and my final comment at the end.
** CQ_1_22.1_labelMessages.txt **
An airplane traveling to the northwest is exerting just enough force to overcome wind resistance. It encounters a sudden wind gust which is directed at 30 degrees south of east, which results in a net force in that direction.
• During the half-second before the pilot has time to react to the gust, does the airplane speed up, slow down or maintain constant (or very nearly-constant) speed?
answer/question/discussion: ->->->->->->->->->->->-> :
y would be the north direction and x would be the east direction. Northeast would be about 135 degrees. The direction of the wind is 30 degrees south of east, which would be about 330 degrees. From sketching this it looks like the wind is in the direction opposite of the planes motion and will thus exert a force opposite of motion and would then slow the plane.
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• Does it veer a bit to the right, a bit to the left or does it continue traveling along a straight line?
answer/question/discussion: ->->->->->->->->->->->-> :
If the wind direction is 330 degrees the direction that is opposite of the airplanes motion would be 135 degrees +180 degress = 315 degrees. The angle is 330 degrees which in order to get from 315 degrees to 330 degrees would require a positive 15 degree rotation . I think this would mean the pilot needs to go 15 degrees to the left. I guess the wind would cause the plane to veer to the right but I’m not certain.
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15 minutes
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Good. Check the link below (no revision necessary) for additional discussion, which will give you more confidence in your solution.
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Solution
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