Answer to Question #139676 in Mechanics | Relativity for Josh pollock

Question #139676
George walks 5.0 km south, 10 km east, 8 km north, and 6.0 km west. Determine the displacement. Both magnitude and direction
1
Expert's answer
2020-10-23T09:09:55-0400

Considering coordinate system where east is directed towards x axis, then

Net displacement = 10i - 6i + 8j - 5j

= 4i + 3j

Magnitude of net displacement:

=42+32=\sqrt{4^2+3^2}

=25=\sqrt{25}

= 5 km

Direction:

=45i+35j=\frac{4}{5}i+\frac{3}{5}j


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