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e&f A student bikes to school by traveling first dN = 100 miles north, then dw =

ID: 1898971 • Letter: E

Question

e&f

A student bikes to school by traveling first dN = 100 miles north, then dw = 0.500 miles west, and finally dg = 0.200 miles south. The displacement vector for the bird db rightarrow can be written as dN rightarrow + dw rightarrow + dg rightarrow (see the figure (Figure 1)). In the space provided, type dh righarrow in component form. Express your answer as two numbers separated by a comma. Be careful with your signs. Finally, find phi , the angle north of west of the path followed by the bird. Express your answer numerically in degrees.

Explanation / Answer

final disp vector is (-0.5,0.8) hence angle is arctan(8/5) = 58 degrees with negative x-axis