Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 4 - Motion in Two and Three Dimensions - Problems - Page 91: 105a

Answer

$v = 16.3~m/s$

Work Step by Step

We can find the vertical component of the initial velocity: $v_{0y} = (30~m/s)~sin~60^{\circ} = 25.98~m/s$ We can find the vertical component of velocity after $2.0~s$: $v_y = v_{0y}+a_y~t$ $v_y = (25.98~m/s)+(-9.8~m/s^2)(2.0~s)$ $v_y = 6.38~m/s$ We can find the horizontal component of velocity: $v_x = (30~m/s)~cos~60^{\circ} = 15~m/s$ We can find the magnitude of the velocity: $v = \sqrt{(15~m/s)^2+(6.38~m/s)^2}$ $v = 16.3~m/s$
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