1. A pilot in a small plane encounters shifting winds. He flies 26.0 kmkm northeast, then 45.0 kmkm due north. From this point, he flies an additional distance in an unknown direction, only to find himself at a small airstrip that his map shows to be 70.0 kmkm directly north of his starting point. What was the length of the third leg of his trip?   What was the direction of the third leg of his trip?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter2: One Dimensional Motion
Section: Chapter Questions
Problem 15PQ: A train leaving Albuquerque travels 293 miles, due east, to Amarillo. The train spends a couple of...
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1. A pilot in a small plane encounters shifting winds. He flies 26.0 kmkm northeast, then 45.0 kmkm due north. From this point, he flies an additional distance in an unknown direction, only to find himself at a small airstrip that his map shows to be 70.0 kmkm directly north of his starting point.

What was the length of the third leg of his trip?
 
What was the direction of the third leg of his trip?
 
2.
A boat can travel   7.3  m/s in still water.  It is crossing a   220   m wide river while pointed due east and the river is flowing at   3.7   m/s, north.
 
What is the speed of the boat, relative to the shore?
How long does it take to cross the river?
How far downstream does the boat end up?
 
3. A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by a wind blowing from the west at 14 m/sm/s . A wise elder duck finally realizes that the solution is to fly at an angle to the wind.
 
If the ducks can fly at 15 m/sm/s relative to the air, in what direction should they head in order to move directly south?
 
 
 
 
 
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