suppose you walk 20.4 m straight ?dep 17866350 Suppose you walk 20.4 m straight
ID: 1573855 • Letter: S
Question
suppose you walk 20.4 m straight ?dep 17866350 Suppose you walk 20.4 m straight west and then 24.1 m straight point to your final position? (If you represent the two legs of the walk as vector displacements A north. How far are you from your point, and what is the compass direction of a line connecting your starting and B, as in the figure below, then this problem asks you to find their sum R A + B.) A+B R 1 (a) Solve the problem above using analytical techniques, but change the second leg of the walk to 24.1 m straight south. (This is equivalent to subtracting B from A-that is, finding R-A-B. Enter the magnitude in m and the direction in degrees south of west.) (b) Solve the problem again, but now you first walk 24.1 m north and then 20.4 m east. (This is equivalent to subtracting A from B-that is, to find R" B-A Enter the magnitude in m and the direction in degrees north of east.) direction north of east ts R" B-A consistent with your result? (Submit a file with a maximum size of 1 MB.) 40 3484JPG im age 1 (4).JPGExplanation / Answer
a)
A = -20.4 i
B = 24.1 j
So, A - B = -20.4 i - 24.1 j
So, | A - B | = sqrt(20.4^2 + 24.1^2)
= 31.6 m <----- answer
direction = atan(24.1/20.4)
= 49.8 degrees south of west
b)
A = 24.1 j
B = 20.4 i
So, A + B = 20.4 i + 24.1 j
So, | A+B | = sqrt(20.4^2 + 24.1^2)
= 31.6 m
direction = atan(24.1/20.4) = 49.8 deg north of east
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