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
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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.
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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