How Do You Calculate Total Displacement Using the Component Method?

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SUMMARY

The discussion focuses on calculating total displacement using the component method for vector addition. The correct approach involves summing the x components and y components of the vectors separately before applying the Pythagorean theorem to find the resultant displacement. The expected answer for the total displacement is 11 km, as stated in the textbook. This method is essential for accurately determining displacement in physics problems involving vectors.

PREREQUISITES
  • Understanding of vector components
  • Proficiency in using the Pythagorean theorem
  • Familiarity with basic physics concepts related to displacement
  • Ability to perform arithmetic operations with vectors
NEXT STEPS
  • Study vector addition techniques in physics
  • Learn about graphical representation of vectors
  • Explore advanced applications of the Pythagorean theorem in physics
  • Practice problems involving displacement and vector components
USEFUL FOR

Students studying physics, particularly those learning about vector addition and displacement calculations, as well as educators seeking to clarify these concepts for their students.

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Homework Statement


Use the componant method to determine the total displacement given by the two vectors shown in each diagram.

bcbace12399df7085697e7ea942e1eba.png



Homework Equations





The Attempt at a Solution



I thought I just had to find the third unknown side, and use the pythagorean theorem, but I was getting the wrong answer. My book says 11 km.

Any help is appreciated.
 
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You've got to add up the x components , add up the y components, then use Pythagoras
 

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