Net Displacement (Probably very easy, but I don't get it)

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Homework Help Overview

The problem involves calculating the net displacement of a person who walks a specific distance east and south, followed by climbing a vertical height. The subject area relates to vector displacement and the application of the Pythagorean theorem in three dimensions.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to apply the Pythagorean theorem to find the net displacement, questioning the initial understanding of horizontal and vertical components. There is uncertainty about how to incorporate the vertical height into the displacement calculation.

Discussion Status

Some participants have offered guidance on using the Pythagorean theorem to approach the problem, while others express confusion about the concept of vertical triangles. Multiple interpretations of the term "displacement" are being explored, particularly regarding the inclusion of angles.

Contextual Notes

There appears to be a lack of clarity regarding the definitions of displacement and the necessary calculations, as well as the participants' varying levels of comfort with geometric concepts.

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Homework Statement



A person walks on level ground 0.6 km east, then 500 meters south, and then climbs to the top of a building (height 180 meters). What is the net displacement of the person?

Homework Equations





The Attempt at a Solution



Really have no idea. I know that 600m east and then 500 m south equals a displacement of 1100 m. Or do you have to use Pythagorean theorem? And then for the extra 180 vertical meters, I have no idea.

Some help please.
 
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Really have no idea. I know that 600m east and then 500 m south equals a displacement of 1100 m.
No, it does not. Yes, you must use the Pythagorean theorem. That will give you the distance in the horizontal plane. Then you consider the 180 m up, which gives you a triangle in a vertical plane which has a height of 180 and a base of about 780. Use the Pythagorean theorem to find the distance from beginning to end.

The word "displacement" usually means the straight line distance AND the angles involved. You may have to find the angle in the horizontal triangle and the angle of elevation in the vertical triangle to complete the problem.
 
i never really understood triangles in a vertical plane thoughhh
 
Hey FAJ, use d=sqrt'sq 600 + sq 500 + sq 180'
 

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