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Two birds flew in two different random directions from the same point on tree. Bird A moved with a velocity V of 37 mph in the direction of 37° south of east. Bird B moved with a velocity VB 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 VB 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 V 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.

Two birds flew in two different random directions from the same point on tree. Bird A moved with a velocity V of 37 mph in the direction of 37° south of east. Bird B moved with a velocity VB 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 VB 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 V 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.

College Physics
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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Two birds flew in two different random directions from the same point on tree. Bird A moved with a velocity V of 37 mph in the direction of 37° south of east. Bird B moved with a velocity VB 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 V 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 V 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:Two birds flew in two different random directions from the same point on tree. Bird A moved with a velocity V of 37 mph in the direction of 37° south of east. Bird B moved with a velocity VB 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 V 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 V 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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