A car is driven east for a distance of 48 km, then north for 29 km, and then in a direction 27° east of north for 23 km. Determine (a) the magnitude of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A car is driven east for a distance of 48 km, then north for 29 km, and then in a direction 27° east of north for 23 km. Determine (a) the magnitude of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction.     
 
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Step 1

Given value---

  • A car is driven east for a distance of 48 km, then north for 29 km, and then in a direction 27° east of north for 23 km.

We have to find---

  • Determine (a) the magnitude of the car's total displacement from its starting point and
  • (b) the angle (from east) of the car's total displacement measured from its starting direction.     
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