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I got part a, but I don\'t know what I did wrong for part b. I did tan-1 (0.54/0

ID: 2124753 • Letter: I

Question

I got part a, but I don't know what I did wrong for part b. I did tan-1 (0.54/0.8) = 34.01 - 180 (because counterclockwise) = -145.9 degrees. Help anyone?



Displacement A rightarrow points due east and has a magnitude of 2.8 km. Displacement B rightarrow points due north and has a magnitude of 1.54 km. Displacement C rightarrow points due west and has a magnitude of 2 km. Displacement D rightarrow points due south and has a magnitude of 1 km. Find the magnitude and direction (relative to due east) of the resultant A rightarrow + B rightarrow + C rightarrow + D rightarrow.

Explanation / Answer

x component = 2.8 + 0 - 2 = 0.8

y component = 1.54 - 1 = 0.54

so direction = arctan(0.54/0.8)=34.02