## A cruise ship sails due south at 2.50 m/s while a coast guard patrol boat heads 19.0° north of west at 4.80 m/s. What are the x-component an

Question

A cruise ship sails due south at 2.50 m/s while a coast guard patrol boat heads 19.0° north of west at 4.80 m/s. What are the x-component and y-component of the velocity of the cruise ship relative to the patrol boat? (Assume that the +x-axis is east and the +y-axis is north. Enter your answers in m/s.)

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2 months 2021-07-25T16:37:45+00:00 1 Answers 4 views 0

Explanation:

We shall represent the velocity of cruise ship and coast guard petrol boat in vector form .

velocity of cruise ship

Vcs = – 2.5 j

Vpb =  – 4.8 cos 19 i + 4.8 sin 19 j = – 4.54 i + 1.56 j

velocity of the cruise ship relative to the patrol boat

= Vcs – Vpb

=  – 2.5 j – ( – 4.54 i + 1.56 j  )

=  – 2.5 j  +  4.54 i –   1.56 j

= 2.04 i – 1.56 j .

x-component of the velocity of the cruise ship relative to the patrol boat

= 2.04 m /s

y-component of the velocity of the cruise ship relative to the patrol boat

= – 1.56 m /s .