(7%) Problem 2: Suppose you first walk 11 m in a direction 200 west of north and

Question

(7%) Problem 2: Suppose you first walk 11 m in a direction 200 west of north and then 22 m in a direction 40 south of west as shown in the figure 40 20 Otheexpertta.com G A 25% Part a What is the component of your displacement in the x-direction, in meters? Grade Summary 0% Deductions 100% Potential Submissions cos0 7 8 9 cotan0 asin0 acos() A A 4 5 6 Attempts remaining: 3 15% per attempt) acotano Lsinho detailed view atan0 cosh() tanh 0 cotanh0 Degrees O Radians Submit Hint I give up! Hints 5% deduction per hint. Hints remaining: 1 Feedback 5% deduction per feedback. A 25% Part (b What is the component of your displacement in the y-direction, in meters? A 25% Part (c) How far are you from your starting point in meters? A 25% Part d What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?

Explanation / Answer

r1 = - 11.5 * sin(20) i^ + 11.5 * cos(20) j^
r1 = - 3.93 i^ + 10.8 j^ m

r2 = - 22 * cos(40) i^ - 22 * sin(40) j^
r2 = - 16.85 i^ - 14.14 j^ m

r = r1 + r2
r = - (3.93 + 16.85) i^ + (10.8 - 14.14) j^
r = - 20.78 i^ - 3.34 j^ m

(a)
Component of displacement in x direction, = 20.78 m

(b)
Component of displacement in y direction, = 3.34 m

(c)
Distance from the starting point, = sqrt(20.78^2 + 3.34^2)
Distance from the starting point, = 21.04 m

(d)
Angle = tan^-1(3.34/20.78)
Angle = 9.13o

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