Aship 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.)

Velocity of Gulf Stream= west of north at a speed of

Explanation:

Given

Let be the velocity of the ship relative to the earth and be the velocity of the ship with respect to the Gulf stream

Let the west direction be  negative x axis and north direction be positive x axis

Now

magnitude of the velocity is given by

Let the velocity of gulf stream makes an angle with the positive y axis we have

Velocity of Gulf Stream west of north at a speed of

it has to be b, about 97 percent.