Displacement: Magnitude and Direction

AI Thread Summary
To find Jim's net displacement, first calculate the total distance traveled in the north-south and east-west directions. He moves 100m south, 20m north, resulting in a net southward movement of 80m. Additionally, he travels 60m east. The magnitude of the net displacement can be determined using the Pythagorean theorem, resulting in a length of approximately 86.02m. The direction can be expressed as the angle from the horizontal axis, calculated using trigonometric functions.
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Homework Statement



Jim walks 100m due south, 60m due east, and then 20m due north. What is his net
displacement (both magnitude and direction)?

Homework Equations



I know how to find the net displacement by the magnitude of the distance...
using the d = sq. rt ( (x2-x1)^2 + (y2-y1)^2 )

but i don't know how to express the direction?

PLEASE HELP!

The Attempt at a Solution

 
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Draw the path on graph paper then draw a line back to the start - the direction is just the angle of this line ( usually given from the horizontal x-axis )
The magnitude is the length of this line.
 

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