Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 3 - Vectors and Coordinate Systems - Exercises and Problems - Page 83: 35


(a) $\theta = 33.6^{\circ}$ (b) $v_y = 1.7~m/s$

Work Step by Step

(a) $cos(\theta) = \frac{v_x}{v}$ $\theta = arccos(\frac{v_x}{v})$ $\theta = arccos(\frac{2.5~m/s}{3.0~m/s})$ $\theta = 33.6^{\circ}$ (b) $v_y = v~sin(\theta)$ $v_y = (3.0~m/s)~sin(33.6^{\circ})$ $v_y = 1.7~m/s$
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