You fly 32.0 km in a straight line in still alr in the direction 35° south of west. (a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction 45.0° south of west and then in a direction 45.0° west of north. These are the components of the displacement along a different set of axes-one rotated 45°.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 71P: A commuter airplane starts from an airport and takes the route shown in Figure P1.71. The plane...
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3.
You fly 32.0 km in a straight line in still alr in the direction 35° south of west. (a) Find the
distances you would have to
point. (This determination is equivalent to finding the components of the displacement along
the south and west directions.) (b) Find the distances you would have to fly first in a direction
45.0° south of west and then in a direction 45.0° west of north.
These are the components of the displacement along a different set of axes-one rotated
45°.
straight south and then straight west to arrive at the same
4.
A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides,
shown as A, B, and C in Figure 16, and then correctly calculates the length and orientation
of the fourth side D. What is his result?
yA+ B + C +D= 0
C 3.02 km
C.
W
D = ? km
19
16
7.5
B= 2.48 km
A = 4.70 km
Figure 9.
Transcribed Image Text:3. You fly 32.0 km in a straight line in still alr in the direction 35° south of west. (a) Find the distances you would have to point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction 45.0° south of west and then in a direction 45.0° west of north. These are the components of the displacement along a different set of axes-one rotated 45°. straight south and then straight west to arrive at the same 4. A farmer wants to fence off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in Figure 16, and then correctly calculates the length and orientation of the fourth side D. What is his result? yA+ B + C +D= 0 C 3.02 km C. W D = ? km 19 16 7.5 B= 2.48 km A = 4.70 km Figure 9.
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