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A butterfly is flying in a garden . First it travels due South for 6.0m and then 37 degree W of N for 10m . Assuming that the positive x direction is East and positive y direction is north. What are the coordinates of the butterfly's final position relative to it's initial position ? A) (2,6) B)(8,0) C)(-6,2) D)(8,-12)?
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A butterfly is flying in a garden . First it travels due South for 6.0...
Given Information:

Initial position of butterfly: (0,0)

Butterfly travels due South for 6.0m

Butterfly then travels 37 degrees West of North for 10m


Solution:

Let's break down the motion of the butterfly into x and y components:



  • The motion due South is entirely in the negative y direction, so its y component is -6.0m.

  • The motion 37 degrees West of North can be broken down into its x and y components:


    • x component: 10m * cos(37) = 7.94m in the negative x direction

    • y component: 10m * sin(37) = 6.03m in the positive y direction




Now we can add up the x and y components to get the final position of the butterfly:



  • x-coordinate: 0m + (-7.94m) = -7.94m

  • y-coordinate: 0m + (-6.0m) + 6.03m = 0.03m



So the final position of the butterfly relative to its initial position is (-7.94m, 0.03m).


Final Answer:

The coordinates of the butterfly's final position relative to its initial position is (-7.94m, 0.03m). Therefore, option C) (-6,2) is the closest answer.
Community Answer
A butterfly is flying in a garden . First it travels due South for 6.0...
B
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A butterfly is flying in a garden . First it travels due South for 6.0m and then 37 degree W of N for 10m . Assuming that the positive x direction is East and positive y direction is north. What are the coordinates of the butterfly's final position relative to it's initial position ? A) (2,6) B)(8,0) C)(-6,2) D)(8,-12)?
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A butterfly is flying in a garden . First it travels due South for 6.0m and then 37 degree W of N for 10m . Assuming that the positive x direction is East and positive y direction is north. What are the coordinates of the butterfly's final position relative to it's initial position ? A) (2,6) B)(8,0) C)(-6,2) D)(8,-12)? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A butterfly is flying in a garden . First it travels due South for 6.0m and then 37 degree W of N for 10m . Assuming that the positive x direction is East and positive y direction is north. What are the coordinates of the butterfly's final position relative to it's initial position ? A) (2,6) B)(8,0) C)(-6,2) D)(8,-12)? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A butterfly is flying in a garden . First it travels due South for 6.0m and then 37 degree W of N for 10m . Assuming that the positive x direction is East and positive y direction is north. What are the coordinates of the butterfly's final position relative to it's initial position ? A) (2,6) B)(8,0) C)(-6,2) D)(8,-12)?.
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