Pythagorean Theorem to find the resultant

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SUMMARY

The discussion focuses on using the Pythagorean Theorem to calculate the resultant displacement of a man walking a specific path. The individual walks 5 blocks east, then 10 blocks north, and finally 5 blocks east again. The correct calculation for total displacement is derived using the formula 10^2 + 10^2 = c^2, resulting in a displacement of approximately 14.14 blocks. The concept of treating paths as vectors is emphasized for clarity in understanding resultant displacement.

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  • Understanding of the Pythagorean Theorem
  • Basic knowledge of vector addition
  • Familiarity with displacement and distance concepts
  • Ability to perform square root calculations
NEXT STEPS
  • Study vector addition techniques in physics
  • Learn about graphical representation of vectors
  • Explore real-world applications of the Pythagorean Theorem
  • Investigate advanced topics in displacement and motion analysis
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Students in physics, mathematics enthusiasts, and anyone interested in understanding vector displacement and the Pythagorean Theorem.

missie
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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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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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