Solve part A,B,C,D Never for this site me to save your password for this site? H

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Solve part A,B,C,D Never for this site me to save your password for this site? HW0lb Begin Date: 9/1/2015 12:00:00 AM-Due Date: 9/4/2015 11:59:00 PM End Date: 12/20/2015 11:59:00 PM (10%) Problem 4: I start walking. The ist leg of my trip I walk dAT 55 m at 45° south of east. The 2nd leg of my trip I walk dB 95 m at 19 north of east. On my final leg I walk de* 65 m at c 35° north of west. Choose the coordinate system so that x is directed towards the east, and y is directed towards the north. 25% Part (a) write an expression for the x component of the final displacement in terms of the given quantities. 25% Part (b) write an expression for the y component of the final displacement in terms of the given quantities. 25% Part (c) what is the magnitude of my displacement vector (in meters) as measured from the origin? 25% Part (d) What is the angle of my displacement vector as measured north from the + x-axis? G> Deductio tan() | | ( sin) cotan0 asin0 atan0 acotan0 sinhO (3% p per a *12 3 0 tanh0 cotanhO0 O Degrees ans Submit Hint I give up

Explanation / Answer

(x1^2 + y1^2 ) = 55^2
x1 = y1
Hence

x1 = 38.89
y1 = - 38.89

Now, Leg 2
y2 = 95*sin15
y2 = 24.58
x2 = 95*cos15
x2 = 91.763

Now, Leg 3
y3 = 65*sin35
y3 = 37.282
x3 = 65*cos35
x3 = - 53.245

FInal Displacement of x
X = x1 + x2 + x3
X = 38.89 + 91.763 - 53.245
x = 77.408

Final Displacement of y
Y = y1 + y2 + y3
Y = - 38.83 + 24.58 + 37.282
Y = 23.032

Magnitude :
M = (77.408^2 + 23.032^2)^1/2
M = 80.7618

Angle = Arcstan(23.032/77.408)
Angle = 16.57°

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