Solve Vector Components: Find Resultant Displacement from Walk Path

AI Thread Summary
To find the resultant displacement from a walking path using physics, the vectors must be expressed in terms of their components along the i and j axes. The initial two vectors can be represented as 100mi + 300mj, while the remaining vectors require decomposition into their respective components using trigonometric functions. The geometry solution yielded a resultant displacement of 240 m at an angle of 237 degrees. For a comprehensive understanding, resources on vector components, such as those detailing right triangle properties, can be helpful. Understanding vector addition through components is essential for accurate displacement calculations.
sap_54
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A person is going for a walk and follows the path shown (the red lines). What is the person's resultant displacement, measured from the starting line?

Ok, I can solve this using geometry, but I need to knkow how to solve it via physics. The first 2 vectors can be written 100mi+300mj, I just don't know how to write the second two vecotrs since they are not straight along the i and j axes.

I solved it using geometry before and got 240 m. @ 237 degrees.

Any assistance would be greatly appreciated! :smile:
 

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sap_54 said:
Ok, I can solve this using geometry, but I need to knkow how to solve it via physics.
I assume you mean that you want to add the vectors using the method of components.

This site will show you how to find the components of a vector using the properties of a right triangle (sines and cosines): http://hyperphysics.phy-astr.gsu.edu/hbase/vect.html#vec2
 

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