Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 3 - Kinematics in Two Dimensions; Vectors - General Problems - Page 74: 75

Answer

The pull of gravity changes the velocity of the ball by 0.51%.

Work Step by Step

$v_x = 150 ~km/h\times 1000m/km\times 1h/3600~s = 41.67 ~m/s$ $t = \frac{18 ~m}{41.67 ~m/s} = 0.432 ~s$ $v_y = v_{y,0} + at = 0 + 9.80\times 0.432 = 4.234 ~m/s$ $v = \sqrt{41.7^2 + 4.234^2} = 41.91 ~m/s$ The percentage difference is $\frac{41.91-41.7}{41.7}\times 100\% = 0.51\%$
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