A Coast Guard patrol boat is traveling due North through calm waters at 20 knots (10 m/s) when it spots a merchant tanker 3000r due North. It is determined (using radar) that the merchant tanker is traveling at a velocity of 40 knots (20m/s) 30 degrees South of West relative to the patrol boat. a. What is the merchant vessel's “true" velocity (magnitude and direction) through the water? b. If the patrol can increase its speed to 40 knots(20m/s) through the water what direction should it travel to intercept the merchant vessel as quickly as possible? c. How long will it take to intercept the merchant vessel?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A Coast Guard patrol boat is traveling due North through calm waters at 20 knots (10 m/s) when it spots a merchant tanker 3000m
due North. It is determined (using radar) that the merchant tanker is traveling at a velocity of 40 knots (20m/s) 30 degrees South
of West relative to the patrol boat.
a.
What is the merchant vessel's "true" velocity (magnitude and direction) through the water?
b. If the patrol can increase its speed to 40 knots(20m/s) through the water what direction should it travel to intercept the
merchant vessel as quickly as possible?
How long will it take to intercept the merchant vessel?
с.
Transcribed Image Text:A Coast Guard patrol boat is traveling due North through calm waters at 20 knots (10 m/s) when it spots a merchant tanker 3000m due North. It is determined (using radar) that the merchant tanker is traveling at a velocity of 40 knots (20m/s) 30 degrees South of West relative to the patrol boat. a. What is the merchant vessel's "true" velocity (magnitude and direction) through the water? b. If the patrol can increase its speed to 40 knots(20m/s) through the water what direction should it travel to intercept the merchant vessel as quickly as possible? How long will it take to intercept the merchant vessel? с.
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