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: 105f

Answer

The angle of the velocity is below the horizontal.

Work Step by Step

Let "up" be the positive direction. 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 $5.0~s$: $v_y = v_{0y}+a_y~t$ $v_y = (25.98~m/s)+(-9.8~m/s^2)(5.0~s)$ $v_y = -23.0~m/s$ The negative sign shows that the vertical component of velocity is directed downward. Therefore, the angle of the velocity is below the horizontal.
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