A student takes a much needed break from her studies and wanders around in the Arnold Arboretum. First, the student travels through a displacement N (+y) = 400 m, directed 40.0° W of S. Then the student undergoes a displacement D2 = 800 m, directed 30.0° N of W. (+x) %3D Thus, the student undergoes a resultant displacement R= D +D¸. In the following, assume that the +y direction is defined as due North and that the +x direction is defined as due East, as shown in the figure. 16. True or False: Displacement D, has a scalar x component equal to - 306 m? A. True. B. False. 17. Displacement D, has a y component-vector equal to A. 400 m. B. - 400 m. C. 693 m j. D. 693 m i. E. 400 m j. 18. True or False: D1,x is positive while D2,x is negative? A. True. B. False. 19. The student's resultant displacement R has a magnitude of A. 1044 m. B. - 856 m. C. 955 m. D. 1200 m. E. 400 m. 20. The student's resultant displacement is directed

College Physics
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A student takes a much needed break from her studies and wanders around in the Arnold Arboretum.
First, the student travels through a displacement
N (+y)
=
= 400 m, directed 40.0° W of S.
%3D
Then the student undergoes a displacement
D2= 800 m, directed 30.0° N of W.
E (+x)
%3D
Thus, the student undergoes a resultant displacement R=D, +D, ·
In the following, assume that the +y direction is defined as due North and
that the +x direction is defined as due East, as shown in the figure.
16. True or False: Displacement D, has a scalar x component equal to 306 m?
A. True.
B. False.
17. Displacement D, has a y component-vector equal to
A. 400 m.
B. - 400 m.
C. 693 m j.
î .
E. 400 m j.
D. 693 m
18. True or False: D1,x is positive while D2,x is negative?
A. True.
B. False.
19. The student's resultant displacement R has a magnitude of
A. 1044 m.
B. - 856 m.
C. 955 m.
D. 1200 m.
E. 400 m.
20. The student's resultant displacement is directed
A. 5.63° N of W.
B. 84.4° N of W.
C. 5.63° S of W.
D. 84.4° S of W.
E. 84.4° S of E.
Transcribed Image Text:A student takes a much needed break from her studies and wanders around in the Arnold Arboretum. First, the student travels through a displacement N (+y) = = 400 m, directed 40.0° W of S. %3D Then the student undergoes a displacement D2= 800 m, directed 30.0° N of W. E (+x) %3D Thus, the student undergoes a resultant displacement R=D, +D, · In the following, assume that the +y direction is defined as due North and that the +x direction is defined as due East, as shown in the figure. 16. True or False: Displacement D, has a scalar x component equal to 306 m? A. True. B. False. 17. Displacement D, has a y component-vector equal to A. 400 m. B. - 400 m. C. 693 m j. î . E. 400 m j. D. 693 m 18. True or False: D1,x is positive while D2,x is negative? A. True. B. False. 19. The student's resultant displacement R has a magnitude of A. 1044 m. B. - 856 m. C. 955 m. D. 1200 m. E. 400 m. 20. The student's resultant displacement is directed A. 5.63° N of W. B. 84.4° N of W. C. 5.63° S of W. D. 84.4° S of W. E. 84.4° S of E.
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