What Is the Magnitude and Direction of Eduardo's Displacement?

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SUMMARY

Eduardo the samurai toaster traveled 120 meters due north and then 72 meters due west, resulting in a displacement of 139.94 meters. The direction of this displacement is not exactly northwest, as the northward distance exceeds the westward distance. To accurately determine the angle of displacement with respect to north, a diagram should be drawn to visualize the path taken.

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Homework Statement


Eduardo the samurai toaster was out for an evening stroll and went 120 m due north then turned and went 72m due west. Find the magnitude and direction of the dog's displacement.


Homework Equations


a^2+b^2=c^2



The Attempt at a Solution


sqrt of (72^2+72^2)= 139.94m NW
 
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samurai toaster / dog? I don't know why you're talking about such weird objects. But anyway, what the object is doesn't matter.

In your answer, you got the magnitude of 139.94m correct, (but the working was incorrect, I'm guessing you just typed it wrong).

The question also asked for the direction the object went. You wrote NW, but actually it wasn't exactly north-west, since he traveled further north than he traveled west.

To work out the direction, just draw a diagram of the situation, and you can work out the angle which he was walking with respect to north.
 

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