14. While following a treasure map, you start at an old pine tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 40.0° north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old pine tree, in what direction should you head and how far will you walk? Use components to solve this problem. (b) To see whether your calculation in part (a) is reasonable, check it with a graphical solution drawn roughly to scale.

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
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Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...
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14. While following a treasure map, you start at an old pine tree. You first wallk 825 m directly south, then turn
and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 40.0° north of east, where you find
the treasure: a biography of Isaac Newton!
(a) To return to the old pine tree, in what direction should you head and how far will you walk? Use
components to solve this problem.
(b) To see whether your calculation in part (a) is reasonable, check it with a graphical solution drawn
roughly to scale.
Transcribed Image Text:14. While following a treasure map, you start at an old pine tree. You first wallk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 40.0° north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old pine tree, in what direction should you head and how far will you walk? Use components to solve this problem. (b) To see whether your calculation in part (a) is reasonable, check it with a graphical solution drawn roughly to scale.
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