Question
Asked Dec 17, 2019
1 views

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?

check_circle

Expert Answer

Step 1

Given:

Velocity of ship = 4.50 m/s (north)

Velocity of boat head = 45o north of west at 5.20 m/s

help_outline

Image Transcriptionclose

45°

fullscreen
Step 2

Velocities can be rewrite as

help_outline

Image Transcriptionclose

v(ship) = 4.50j v(head) = -5.20cos 45° i + 5.20 sin 45° } v(head) = -3.68i + 3.68 j

fullscreen
Step 3

Relative velocity can b...

help_outline

Image Transcriptionclose

v(relative) =v(ship)– v(head) v(relative) = 4.50j –(-3.68î + 3.68ĵ) v(relative) = 4.50j +3.68î – 3.68ĵ v(relative) = 0.82ĵ +3.68î

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Vectors and Scalars

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A ball is thrown directly downward with an initial speedof 8.00 m/s, from a height of 30.0 m. After ...

A: A ball is thrown downwards with an initial speed 8.00m/s from a height of 30.0m.

question_answer

Q: When an object is in mechanical equilibrium ,what can be correctly said about all the forces that ac...

A: When the object is in mechanical equilibrium it means that the net force on the object is “Zero”.

question_answer

Q: A 75 kg student jumps off a bridge with a 12-m-long bungee cord tied to his feet. The massless bunge...

A: (a) The gravitational potential energy is converted into the spring potential energy

question_answer

Q: A race car travels along a raceway at a constant velocity of 200km/h. What horizontal net force acts...

A: The net force acting on an object in any direction is the product of its mass and its acceleration a...

question_answer

Q: Which is more likely to break: a hammock stretched tightly between a pair of trees or one that sags ...

A: Hammock stretched between the pair of trees is more likely to break than that sags more when we sit ...

question_answer

Q: In your group, have someone donate temporarilya set of keys for the cause. Tie one end of a string a...

A: As the binder clip is released, both the binder clip as well as the bunch of keys hangs on both side...

question_answer

Q: You are driving north on a highway. Then, without changing speed, you round a curve and drive east ....

A: Part A :Yes , velocity changes.Velocity is a vector quantity. If there is any change in magnitude or...

question_answer

Q: What is speed acquired by a freely falling object 5 sec after being dropped from a rest position? Wh...

A: Given information:Initial speed (u) = 0 m/sThe acceleration acting on the object (g) = 9.81 m/s

question_answer

Q: Start a ball rolling down a bowling alley and you'll find that it moves slightly slower with time. D...

A: It does not violate newton law of inertia.