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A ship sailing in the Gulf Stream is heading 25.0º west of
Chapter 3, Problem 66(choose chapter or problem)
Problem 66PE
A ship sailing in the Gulf Stream is heading 25.0º west of north at a speed of 4.00 m/s relative to the water. Its velocity relative to the Earth is 4.80 m/s 5.00º west of north. What is the velocity of the Gulf Stream? (The velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United States.)
Questions & Answers
QUESTION:
Problem 66PE
A ship sailing in the Gulf Stream is heading 25.0º west of north at a speed of 4.00 m/s relative to the water. Its velocity relative to the Earth is 4.80 m/s 5.00º west of north. What is the velocity of the Gulf Stream? (The velocity obtained is typical for the Gulf Stream a few hundred kilometers off the east coast of the United States.)
ANSWER:
Solution 66 PE
Step 1 of 4
The magnitude and direction of velocity () of the gulf stream relative to the Earth can be calculated using the expressions,
= ()
Where,= x component of the velocity relative to the Earth in m/s
= y component of the velocity relative to the Earth in m/s