During a walk through a park, a person wanders to look at three different gardens. The person makes three successive displacements as follows, 30 paces due north (vector A), 50 paces @ 15o south of east (vector B), and 40 paces due west (vector C). Using the head-to-tail method of vector addition make a rough sketch of the resultant displacement vector. Using the component method of vector addition, determine the magnitude (in paces) and direction of the resultant displacement vector.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
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Problem 50PQ: An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225...
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During a walk through a park, a person wanders to look at three different gardens. The person makes three successive displacements as follows, 30 paces due north (vector A), 50 paces @ 15o south of east (vector B), and 40 paces due west (vector C).

  1. Using the head-to-tail method of vector addition make a rough sketch of the resultant displacement vector.
  2. Using the component method of vector addition, determine the magnitude (in paces) and direction of the resultant displacement vector.
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