(10%) Problem 8: Suppose you first walk 13.5 m in a direction 20° west of north
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(10%) Problem 8: Suppose you first walk 13.5 m in a direction 20° west of north and then 25.5 m in a direction 40° south of west as shown in the figure ©theexpertta.c 25% Part (a) What is the component of your displacement in the x-direction, in meters? Grade Summary Deductions Potential Submissions Attempts remainin (10% per attempt) detailed view tanOjx cosO cotanasin)acos) atan)acotan)sinh) cosh0 tanh cotanh0 sin 10 Degrees Radians (O Submit Hint Feedback Hints: 5% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback 25% Part (b) What is the component of your displacement in the y-direction, in meters? 25% Part (c) How far are you from your starting point in meters? .. 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
a)Dx=13.5sin20+25.5cos40=24.15 m
b)Dy=13.5 cos20 - 25.5 sin 40=-3.70 m
c)D=sqrt{24.15^2 +(3.70)^2}=24.43 m
d)tan theta=3.70/24.15=
theta=8.7 degree
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