W N S Problem 1. If you want to go by train from Los Angeles to New York, you must make a stop. First, you must travel 1800 miles East to reach New Orleans. Then you must travel 1300 miles at 45° North of East to reach New York. (a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick mark should represent 300 miles. (b) If you flew directly from Los Angeles to New York, how far would the flight be? E

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Chapter1: Units, Trigonometry. And Vectors
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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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I am trying to solve the blank problem and I've included the given sample problem that I was trying to use to help me solve the blank problem, so you can see my professor's thought process and try to help explain to me using how he solved a similar problem. The answer key says: 4717 m 58 degrees North of West, but I am not getting that answer and need help. 

W
Problem 1.
In order to drive from Tucson to Flagstaff requires two segments. First, you must drive 110 miles
at 50° North of West to reach Phoenix. Then you must drive 100 miles North to reach Flagstaff.
(a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick mark
should represent 20 miles.
(b) Find the magnitude and direction of your displacement.
C = A + B
13
1
PL
ON
N
S
Cx = Ax + Bx
tan & = 1Cx1
=-Acos to
= -110 cos 50= -70,7 mi
Cy= Ay+ By
121-√2²² +²²
= Asin + B
= 110 sin 50+100= 184,3 m²
E
=
√(-70.7) ²+ (1843)²)
-197.4 mi
70.7
1cyl 124.3
Teyl
$ = 21° W of N
²7
70,7
184.3,
(69°N of W)
=) = ten
Transcribed Image Text:W Problem 1. In order to drive from Tucson to Flagstaff requires two segments. First, you must drive 110 miles at 50° North of West to reach Phoenix. Then you must drive 100 miles North to reach Flagstaff. (a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick mark should represent 20 miles. (b) Find the magnitude and direction of your displacement. C = A + B 13 1 PL ON N S Cx = Ax + Bx tan & = 1Cx1 =-Acos to = -110 cos 50= -70,7 mi Cy= Ay+ By 121-√2²² +²² = Asin + B = 110 sin 50+100= 184,3 m² E = √(-70.7) ²+ (1843)²) -197.4 mi 70.7 1cyl 124.3 Teyl $ = 21° W of N ²7 70,7 184.3, (69°N of W) =) = ten
W
N
Problem 1.
If you want to go by train from Los Angeles to New York, you must make a stop. First, you must
travel 1800 miles East to reach New Orleans. Then you must travel 1300 miles at 45° North of East
to reach New York.
(a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick mark
should represent 300 miles.
(b) If you flew directly from Los Angeles to New York, how far would the flight be?
E
Transcribed Image Text:W N Problem 1. If you want to go by train from Los Angeles to New York, you must make a stop. First, you must travel 1800 miles East to reach New Orleans. Then you must travel 1300 miles at 45° North of East to reach New York. (a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick mark should represent 300 miles. (b) If you flew directly from Los Angeles to New York, how far would the flight be? E
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