In an orienteering class, you have the goal of moving as far (straight-line distance) from base camp as possible by making three straight-line moves. You may use the following displacements in any order: (a) →a, 2.0 km due east (directly toward the east); (b) →b, 2.0 km 30° north of east (at an angle of 30° toward the north from due east); (c) →c, 1.0 km due west. Alternatively, you may substitute either −→b for →b or −→c for →c. What is the greatest distance you can be from base camp at the end of the third displacement? (We are not concerned about the direction.)

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 71AP: You fly 32.0 km in a straight line in still air in the direction 35.0 south of west. (a) Find the...
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yeboahmiriam3065
  • 09/09/2019
  • Mathematics
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In an orienteering class, you have the goal of moving as far (straight-line distance) from base camp as possible by making three straight-line moves. You may use the following displacements in any order: (a) →a, 2.0 km due east (directly toward the east); (b) →b, 2.0 km 30° north of east (at an angle of 30° toward the north from due east); (c) →c, 1.0 km due west. Alternatively, you may substitute either −→b for →b or −→c for →c. What is the greatest distance you can be from base camp at the end of the third displacement? (We are not concerned about the direction.)

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