Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 3 - Vectors - Problems - Page 61: 70b

Answer

$36^{\circ}$ The direction is $36^{\circ}$ north of due east.

Work Step by Step

The components of the total displacement are $r_{x}=A_{x}+B_{x}=125+175=300$ $r_{y}=A_{y}+B_{y}=216.5+0=216.5$ The angle the resultant displacement makes with the $+x$ axis is $\tan ^{-1}\left(\frac{r_{y}}{r_{x}}\right)=\tan ^{-1}\left(\frac{216.5 \mathrm{m}}{300 \mathrm{m}}\right)=36^{\circ}$ The direction is $36^{\circ}$ north of due east.
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