A treasure map shows a path from the hanging tree to walk to find the buried treasure. It reads to start at the hanging tree and walk north 7.5 meters. The map then says to turn and walk 9.8 meters at 30 degrees north of east, then walk south 1.4 meters, and finally walk west 38.0 meters. Once at this position, the map says to turn east and walk 14.0 more meters, then turn north and walk 12.0 more meters, and finally to turn due west and walk 6.0 meters. There you will find the treasure! Treasure! All that walking is the same result as Hanging Tree (a) Being a physicist, you want to get rid of all the steps and walk right to the treasure. What is the magnitude of the displacement you would walk if you walked directly to the treasure along the line of the resultant?

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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Find the magnitude of the displacement you would walk if you walked directly to the treasure along the line of the resultant.

___ m 

**Treasure Map Instructions:**

A treasure map shows a path from the hanging tree to find the buried treasure. Follow these steps:

1. Start at the hanging tree and walk north 7.5 meters.
2. Turn and walk 9.8 meters at 30 degrees north of east.
3. Walk south 1.4 meters.
4. Walk west 38.0 meters.
5. Turn east and walk 14.0 meters.
6. Turn north and walk 12.0 meters.
   
At this position, you will locate the treasure!

**Diagram Explanation:**

The diagram displays a path with several directional vectors leading to the treasure, marked with a treasure chest icon. It shows movements in various directions indicating the resultant path. The starting point is labeled as the “Hanging Tree.”

**Question:**

(a) Being a physicist, you want to minimize steps and walk directly to the treasure. What is the magnitude of the displacement if you walked directly along the resultant line to the treasure?

**Answer Box:**  
[____] m
Transcribed Image Text:**Treasure Map Instructions:** A treasure map shows a path from the hanging tree to find the buried treasure. Follow these steps: 1. Start at the hanging tree and walk north 7.5 meters. 2. Turn and walk 9.8 meters at 30 degrees north of east. 3. Walk south 1.4 meters. 4. Walk west 38.0 meters. 5. Turn east and walk 14.0 meters. 6. Turn north and walk 12.0 meters. At this position, you will locate the treasure! **Diagram Explanation:** The diagram displays a path with several directional vectors leading to the treasure, marked with a treasure chest icon. It shows movements in various directions indicating the resultant path. The starting point is labeled as the “Hanging Tree.” **Question:** (a) Being a physicist, you want to minimize steps and walk directly to the treasure. What is the magnitude of the displacement if you walked directly along the resultant line to the treasure? **Answer Box:** [____] m
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