Solve Vector Components: Find Resultant Displacement from Walk Path

[sap_54]

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!

 

[Doc Al]

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