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(11%) Problem 5: Suppose you first walk 11.5 m in a direction 20° west of north and then 24.5 m in a direction 40° south of west as shown in the figure. 25% Part (a) What is the component of your displacement in the x-direction, in meters? 25% Part (b) What is the component of your displacement in the y-direction, in meters? 25% Part (c) How far are you from your starting point in meters? 25% Part (d) What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?

          (11%) Problem 5: Suppose you first walk 11.5 m in a direction 20° west of north and then 24.5 m in a direction 40° south of west as shown in the figure.

25% Part (a) What is the component of your displacement in the x-direction, in meters?
25% Part (b) What is the component of your displacement in the y-direction, in meters?
25% Part (c) How far are you from your starting point in meters?
25% Part (d) What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?

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(11%) Problem 5: Suppose you first walk 11.5 m in a direction 20° west of north and then 24.5 m in a direction 40° south of west as shown in the figure.

25% Part (a) What is the component of your displacement in the x-direction, in meters?
25% Part (b) What is the component of your displacement in the y-direction, in meters?
25% Part (c) How far are you from your starting point in meters?
25% Part (d) What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?

Added by Michael B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Adi S

10/08/2023

Step 1

The x-component of the first displacement is: 5 * sin(20°) = 1.71 m (west) The y-component of the first displacement is: 5 * cos(20°) = 4.70 m (north) Now, let's find the components of the second displacement (24.5 m, 4° south of west). The x-component of the Show more…

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Suppose you first walk 11.5 m in a direction 20° west of north and then 24.5 m in a direction 40° south of west as shown in the figure. Part (a) What is the component of your displacement in the x-direction, in meters? Part (b) What is the component of your displacement in the y-direction, in meters? Part (c) How far are you from your starting point in meters? Part (d) What is the angle of a line connecting your starting position to your final position, measured South of West, in degrees?

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