How to Find the Displacement and Angle of a Drifting Balloon?

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Homework Help Overview

The problem involves determining the displacement and angle of a balloon that drifts in three dimensions: 2.5 km north, 3.0 km east, and 1.6 km in elevation. Participants are exploring how to approach the calculation of the displacement vector and its angle with respect to the horizontal plane.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to create vectors for the north and east directions but expresses confusion about how to represent the elevation vector and its direction. Some participants question the method of combining these vectors and the implications of the elevation on the overall displacement.

Discussion Status

Participants are actively discussing their approaches, with some guidance offered regarding vector addition and the use of trigonometric functions. There is no explicit consensus on the method to be used, but hints have been provided to help clarify the process of combining the vectors.

Contextual Notes

The original poster indicates a time constraint, which may be influencing their urgency and approach to the problem. There is also a mention of needing to clarify the direction of the elevation vector.

shaiqbashir
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Hi!

Well this is the problem which is so much confusing because I am not sure what method to follow while solving it. Plz Help me!

"A balloon drifts 2.5km north, 3.o Km east and 1.6 Km in elevation from its release point. find the magnitude of the displacement and the angle the displacement vector makes with the horizontal."

Thanks in advance!
 
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What's you contribution so far to solving this problem...?

Daniel.
 
Hi!

Well u have asked me about my contribution, listen i have try to make a north-directioned vector(2.5Km) then an Ease-directioned vector(3 Km) and now I am getting confused that how to make that elevation vector, should i try to make it from my starting point then what will be its direction will it be vertically upward?

Plz help me, i have a very short time!
Thanks
 
It doesn't matter.HINT:The resulting vector when adding the 2 N & E vectors is the orthonormal projection of the vector u wish to uniquely determine on the Oxy (choosen he axis as Ox & Oy respectively) plane.U'll have to use the tangent function and Pythagora's theorem in a right triangle.

Daniel.
 

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