The total displacement along U.S. Highway 212, which extends 55 km at 37 degrees north of east and then 66 km nearly due east, is calculated to be 115 km. The calculations involve breaking down the displacement into its x and y components using trigonometric functions: X1 = 55(cos37), Y1 = 55(sin37), X2 = 66(cos0), and Y2 = 66(sin0). The final displacement is derived from the equation d² = X² + Y², confirming the total distance traveled.
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Did you have a question about this?eaglesfan94 said:Homework Statement
U.S. Highway 212 extends 55km at 37 degrees north of east between Newell and Mud Butte, south Dakota. It then continues for 66 km nearly due east from Mud Butte to Faith, South Dakota. If you drive alongthis part of U.S. Highway 212, what will your total displacement be?
X1=55(cos37) Y1=55(sin37)
X2=66(cos0) Y2=66(sin0)
Homework Equations
d^2=X^2+Y^2
The Attempt at a Solution
D=115km