Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 3 - Vectors in Physics - Problems and Conceptual Exercises - Page 80: 61

Answer

$-53.1^{\circ}, 40.3m$

Work Step by Step

We know that $2\vec A+\vec B=2(12.1m)\hat x+(-32.2m)\hat y=(24.2m)\hat x+(-32.2m)\hat y$ Now the direction is given as $\theta=tan^{-1}(\frac{-32.2}{24.2})=-53.1^{\circ}$ and the magnitude is given as $|2\vec A+\vec B|=\sqrt{(24.2)^2+(-32.2)^2}=40.3m$
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