Finding the Resultant Displacement of 4 Vectors

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SUMMARY

The discussion focuses on finding the resultant displacement of four vectors, specifically: 15m at 25 degrees East of North, 10m at 10 degrees East of South, 5m East, and 10m at 30 degrees South of West. The user, Charlie, initially struggled with the addition of these vectors but successfully solved the problem after advice to first combine the first three vectors before adding the fourth. This approach simplifies the calculation process and confirms that understanding vector addition is crucial for solving complex problems.

PREREQUISITES
  • Understanding of basic vector addition
  • Knowledge of trigonometric functions for angle calculations
  • Familiarity with vector components in Cartesian coordinates
  • Basic principles of physics related to displacement
NEXT STEPS
  • Study vector decomposition and how to resolve vectors into their components
  • Learn about the Law of Cosines and Law of Sines for non-right triangles
  • Practice problems involving multiple vector additions
  • Explore graphical methods for vector addition, such as vector diagrams
USEFUL FOR

This discussion is beneficial for high school physics students, educators teaching vector concepts, and anyone looking to enhance their understanding of vector addition in physics and calculus.

Chaalie
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Hey, guys! I just started my senior high school physics and calculus courses. So far all we have done is the basics of vectors. I can find the resultant displacement of 2-3 vector problems fairly easily. My physics teacher told us to try and make up our own questions, to see if we could do them. I did two questions with 3 vector additions and had no problem. Now, I have tried to find the resultant displacement of a 4-vector addition problem, and I am not having much luck! I've been going at it for about 2 hours, coming close, but not quite there. The vectors are:
1: 15m [25 degrees East of North]
2: 10m [10 degrees East of South
3. 5m [East]
4. 10m [30 degrees South of West]

Now, I've made a little progress, but not too much. I was wondering if maybe I needed some more knowledge of calculus and vectors before I could continue? If so, great, it's something I'll learn this year! If not, I'll keep going until I get it!

Thanks,

Charlie
 
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Try adding the first three and then add the fourth to the result. Then you won't be adding more than three vectors at the same time.
 
Great! I guess I was just thinking about it too hard. I have it solved now!
Thanks for the help! :)
 

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