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: 6

Answer

(a) $r_x = 70.7~m$ $r_y = -70.7~m$ (b) $v_x = 282~m/s$ $v_y = 103~m/s$ (c) $a_x = 0$ $a_y = -5.0~m/s^2$

Work Step by Step

(a) $r_x = r~cos(\theta)$ $r_x = (100~m)~cos(45^{\circ})$ $r_x = 70.7~m$ $r_y = -r~sin(\theta)$ $r_y = -(100~m)~sin(45^{\circ})$ $r_y = -70.7~m$ (b) $v_x = v~cos(\theta)$ $v_x = (300~m/s)~cos(20^{\circ})$ $v_x = 282~m/s$ $v_y = v~sin(\theta)$ $v_y = (300~m/s)~sin(20^{\circ})$ $v_y = 103~m/s$ (c) $a_x = 0$ $a_y = -5.0~m/s^2$
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