College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 3 - Motion in Two Dimensions - Learning Path Questions and Exercises - Exercises - Page 96: 4

Answer

The y-component of the velocity vector is $6.32\,\mathrm{m/s}$.

Work Step by Step

Magnitude of the velocity vector is given as - $|v|=\sqrt{v_x^2+v_y^2}$. Given the magnitude and x-component, the y-component will be - $v_y=\sqrt{|v|^2-v_x^2}$ or, $v_y=\sqrt{49-9}=6.32\,\mathrm{m/s}$
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