A car moves 4.0 km in a straight line in a direction 40º East of North. It then moves 7.0 km 20o South of East.   Sketch the trip as accurately as you can. Show the coordinate axes. Label all vectors. Show the resultant displacement. Use the analytical method to solve for the magnitude and direction of the resultant. Show all equations and steps in the calculations. Do the calculations match the graph you have drawn in part (A)?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 44P: Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units,...
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A car moves 4.0 km in a straight line in a direction 40º East of North. It then moves 7.0 km 20o South of East.

 

  1. Sketch the trip as accurately as you can. Show the coordinate axes. Label all vectors. Show the resultant displacement.
  2. Use the analytical method to solve for the magnitude and direction of the resultant. Show all equations and steps in the calculations.
  3. Do the calculations match the graph you have drawn in part (A)?
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