No 4 Two birds flew in two different random directions from the same point on tree. Bird A moved with a velocity VA of 37 mph in the direction of 37° south of east. Bird B moved with a velocity Vs of 30 mph in the direction of 30° west of south. Both velocities are vectors with the given magnitudes and directions. (a) Convert the unit of each velocity vector from mph to m/s and show your detailed work. (b) Draw vectors V and Vs on an xy-Cartesian plane then draw the resultant vector of the two. (c) Break vector V into components and write the result in terms of unit vector notation. (d) Break vector into com
No 4 Two birds flew in two different random directions from the same point on tree. Bird A moved with a velocity VA of 37 mph in the direction of 37° south of east. Bird B moved with a velocity Vs of 30 mph in the direction of 30° west of south. Both velocities are vectors with the given magnitudes and directions. (a) Convert the unit of each velocity vector from mph to m/s and show your detailed work. (b) Draw vectors V and Vs on an xy-Cartesian plane then draw the resultant vector of the two. (c) Break vector V into components and write the result in terms of unit vector notation. (d) Break vector into com
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**Exercise No 4**
Two birds flew in two different random directions from the same point on a tree. Bird A moved with a velocity \(V_A\) of 37 mph in the direction of 37° south of east. Bird B moved with a velocity \(V_B\) of 30 mph in the direction of 30° west of south. Both velocities are vectors with the given magnitudes and directions.
**(a)** Convert the unit of each velocity vector from mph to m/s and show your detailed work.
**(b)** Draw vectors \(V_A\) and \(V_B\) on an xy-Cartesian plane then draw the resultant vector of the two.
**(c)** Break vector \(V_A\) into components and write the result in terms of unit vector notation.
**(d)** Break vector \(V_B\) into components and write the result in terms of unit vector notation.
**(e)** Add the two vectors and write the resultant vector in unit vector notation.
**(f)** What is the magnitude of the resultant vector?
**(g)** In what direction is the resultant vector pointing? Write the answer in terms of an angle with the proper indication of the direction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3a80bdb-dbe3-4058-9ea9-0990b19198fe%2Fe5c594ab-2da4-427b-8f7e-29930c7ecc7b%2Fbaflpkk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise No 4**
Two birds flew in two different random directions from the same point on a tree. Bird A moved with a velocity \(V_A\) of 37 mph in the direction of 37° south of east. Bird B moved with a velocity \(V_B\) of 30 mph in the direction of 30° west of south. Both velocities are vectors with the given magnitudes and directions.
**(a)** Convert the unit of each velocity vector from mph to m/s and show your detailed work.
**(b)** Draw vectors \(V_A\) and \(V_B\) on an xy-Cartesian plane then draw the resultant vector of the two.
**(c)** Break vector \(V_A\) into components and write the result in terms of unit vector notation.
**(d)** Break vector \(V_B\) into components and write the result in terms of unit vector notation.
**(e)** Add the two vectors and write the resultant vector in unit vector notation.
**(f)** What is the magnitude of the resultant vector?
**(g)** In what direction is the resultant vector pointing? Write the answer in terms of an angle with the proper indication of the direction.
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