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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A cruise ship sails due north at 4.50 m/s while a Coast Guard patrol boat heads 45.0° north of west at 5.20 m/s. What are (a) the x-component and (b) y-component of the velocity of the cruise ship relative to the patrol boat?

(a)

To determine
The x component of the velocity of the cruise ship relative to the patrol boat.

Explanation

Identify the cruise ship with the letter C and the patrol boat with the letter P . Identify the stationary reference frame of earth with the letter E .

The x component of the relative velocity of the cruise ship relative to the patrol boat is,

vCP,x=vCE,xvPE,x

As the cruise ship is sailing due north, substitute 0m/s for vCE,x .

As the patrol boat is 45.0° north of west at 5

(b)

To determine
The y component of the velocity of the cruise ship relative to the patrol boat.

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