Physics illiterate Finding Magnitude and Direction given displacement vectors

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SUMMARY

The discussion centers on calculating the resultant displacement of a grasshopper's four jumps, represented by displacement vectors: (1) 24.0 cm due west, (2) 23.0 cm at 31.0 degrees south of west, (3) 23.0 cm at 33.0 degrees south of east, and (4) 34.0 cm at 46.0 degrees north of east. The solution requires breaking down these vectors into components and using trigonometric principles to find both the magnitude and direction of the resultant displacement. The direction should be expressed with respect to due west, adhering to the convention that angles south of west are positive and angles north of west are negative.

PREREQUISITES
  • Understanding of vector components in physics
  • Knowledge of trigonometric functions (sine, cosine)
  • Familiarity with angle measurement conventions in physics
  • Ability to visualize and draw vector diagrams
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  • Study vector addition and resolution of vectors into components
  • Learn how to apply trigonometric functions to solve vector problems
  • Practice drawing and interpreting vector diagrams
  • Explore the concept of resultant vectors in two-dimensional motion
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Homework Statement



A grasshopper makes four jumps. The displacement vectors are (1) 24.0 cm, due west; (2) 23.0 cm, 31.0 degrees south of west; (3) 23.0 cm, 33.0 degrees south of east; and (4) 34.0 cm, 46.0 degrees north of east. Find (a) the magnitude and (b) direction of the resultant displacement. Express the direction with respect to due west. (Note: Use the convention that an angle south of west is positive, and an angle north of west is negative.)

Homework Equations


The Attempt at a Solution



I do know that you have to solve using components, but the assignment that I'm doing is online and every answer that I've entered so far has been wrong...so clearly I'm doing something wrong. If anyone could help, with workings, I would be SO appreciative!
 
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Have you drawn a picture to help you visualize the problem? It's nothing more than a trigonometry problem if you know conceptually what you have to do.
 
I have! That's a reason why I find physics so difficult. I feel that even when I do draw the vectors, I still find it extremely hard to visualize what it is that I'm looking for.
 

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