Suppose you first walk 10.5 m in a direction 20° west of north and then 25 m in a direction 40° south of west as shown in the figure. a. What is the component of your displacement in the x-direction? b. What is the component of your displacement in the y-direction? c. How far are you from your starting point? d. What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?

Name: suppose you first walk 105 m in a direction 20 west of north and then 25 m in a direction 40 south of west as shown in the figure a what is the component of your displacement in the x direct 18263
Uploaded: 2023-03-28T00:53:17-08:00
Duration: 2 min 54 s
Channel: Ivan Kochetkov
Description: suppose you first walk 105 m in a direction 20 west of north and then 25 m in a direction 40 south of west as shown in the figure a what is the component of your displacement in the x direct 18263

          Suppose you first walk 10.5 m in a direction 20° west of north
and then 25 m in a direction 40° south of west as shown in the
figure.
a. What is the component of your displacement in the
x-direction?
b. What is the component of your displacement in the
y-direction?
c. How far are you from your starting point?
d. What is the angle of a line connecting your starting position
to your final position, measured South of West, in degrees?

Added by Lori D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

03/28/2023

Step 1

For the first displacement (10.5 m, 20° west of north): x1 = 10.5 * sin(20°) = 3.594 y1 = 10.5 * cos(20°) = 9.945 For the second displacement (25 m, 40° south of west): x2 = 25 * cos(40°) = 19.127 y2 = -25 * sin(40°) = -16.142 Now, we can find the total x and y Show more…

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Suppose you first walk 10.5 m in a direction 20° west of north and then 25 m in a direction 40° south of west as shown in the figure. a. What is the component of your displacement in the x-direction? b. What is the component of your displacement in the y-direction? c. How far are you from your starting point? d. What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?