Finding the resultant displacement vector.

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SUMMARY

Jodie walks a total distance of 110 meters, consisting of five vectors: 14m East (V1), 42m South (V2), 32m West (V3), 13m South (V4), and 9m East (V5). To find the resultant displacement vector, students should sequentially combine the vectors, starting with V1 and V2 to create V6, and then combining V3 with V6, and so forth. The final position of the lab relative to the classroom can be determined by calculating the net displacement from the origin based on the resultant vector.

PREREQUISITES
  • Understanding of vector addition and subtraction
  • Basic knowledge of trigonometry for angle calculations
  • Familiarity with scale diagrams for vector representation
  • Ability to calculate distances using the Pythagorean theorem
NEXT STEPS
  • Learn vector addition techniques in physics
  • Study how to draw and interpret scale diagrams for displacement
  • Explore the Pythagorean theorem for calculating resultant distances
  • Practice problems involving multiple displacement vectors
USEFUL FOR

High school physics students, educators teaching vector concepts, and anyone seeking to understand displacement and vector addition in physical scenarios.

venomnert
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Homework Statement


In order to get from her classroom too the lab without going through the crowded rotunda, Jodie walks 14m (E), 42m(S), 32m(W), 13m(S), and 9m(E). Draw a scale diagram to represent all the initial displacement vector and the resultant displacement vector in Jodie's walk to the lab. What distance did Jodie walk in getting to the lab? What is the position of the lab with respect to the classroom?


Homework Equations


I don't know how to connect the tail and the head and how to calculate the resultant.

The Attempt at a Solution


Hi guys, this my first post in PF and i am new to physics and i need all the help i could get so please guys help me with my homework thanks. By the way i am taking grade eleven physics.
 
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Try going step-by-step. You have 5 vectors (call them V1, V2, V3, V4 & V5). Find the resultant of V1 and V2, call it V6. Now find the resultant between V3 and V6. etc.
 

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