Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.3 - The Dot Product - Exercises 12.3 - Page 713: 23

Answer

$v_x=1188 ft/s; v_y=167 ft/s$

Work Step by Step

we have $v= 1200$ ft/s Consider two components of a vector $v$ as: $v=\lt v_x,v_y\gt$ Then, $v_x=(1200) \cos (8 ^{\circ})=1188 ft/s$; $v_y=(1200) \sin (8 ^{\circ})=167 ft/s$ Hence, $v_x=1188 ft/s; v_y=167 ft/s$
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