A ship sailing in the Gulf Stream is heading 26.0° east of south at a speed of 4.00 m/s relative to the water. Its velocity relative to the Earth is 4.80 m/s 5.00° east of south. What is the velocity of the Gulf Stream? (The magnitude of the velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United States.)
A ship sailing in the Gulf Stream is heading 26.0° east of south at a speed of 4.00 m/s relative to the water. Its velocity relative to the Earth is 4.80 m/s 5.00° east of south. What is the velocity of the Gulf Stream? (The magnitude of the velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United States.)
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
Transcribed Image Text:A ship sailing in the Gulf Stream is heading 26.0° east of south at a speed of 4.00 m/s relative to the water. Its
velocity relative to the Earth is 4.80 m/s 5.00° east of south. What is the velocity of the Gulf Stream? (The magnitude
of the velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United
States.)
You are standing on the top deck of a cruise ship. The GPS on your phone tells you that you are moving at 16.0 m/s,
70.0° E of S. You take out a wind measuring device and you measure that the wind is blowing at 15.1 m/s, 10.0° N of
W.
a) How fast would a person on a nearby island measure the velocity of the wind to be?
b) If you also see a bird flying backwards at 2.00 m/s, 20.0° N of W (because it is slower than the cruise ship), how
fast is the bird moving relative to the air?
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