Suppose you first walk 12.0 m in a direction 20 west of north and then 20.0 m in a direction 40.0º south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 22, then this problem finds their sum R = A + B.)

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Suppose you first walk 12.0 m in a direction 20 west of north and then 20.0 m in a direction 40.0º south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 22, then this problem finds their sum R = A + B.)
A+B=R
B = 20 m
0
40°
B
A
A = 12 m
R
Figure 22.
W
-20°
N
S
X
E
Transcribed Image Text:A+B=R B = 20 m 0 40° B A A = 12 m R Figure 22. W -20° N S X E
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