Pythagorean Theorem to find the resultant

Thread starter missie
Start date Sep 11, 2008
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Pythagorean theorem Resultant Theorem

AI Thread Summary

To find the total displacement of a man walking 5 blocks east, 10 blocks north, and then 5 more blocks east, the Pythagorean Theorem is applied. The total eastward displacement is 10 blocks, and the northward displacement is 10 blocks. Using the formula 10^2 + 10^2 = c^2, the calculation results in c = √200, which equals approximately 14.14 blocks. The discussion emphasizes viewing the paths as vectors that can be rearranged for clarity. This approach confirms the correct application of the theorem to determine resultant displacement.

Sep 11, 2008

missie

A man walks 5 blocks east, then turns 10 blocks north, then walks 5 more block east.

Total displacement____?

is it...

10^2 + 10^2 = c^2

(Square root 200)=c^2

14.14 = c^2

is this right?

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Sep 11, 2008

bassplayer142

Yes. Try to think of the paths as vectors where you can rearrange them how you choose.

http://www.glenbrook.k12.il.us/GBSSCI/PHYS/Class/vectors/u3l1b.html

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