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 - Problems - Page 69: 23

Answer

18 or 72$^o$.

Work Step by Step

Use the level horizontal range formula that is derived in the text, with a range of 2.5 meters. You will find $sin(2 \theta) = 0.5799$ which can be solved for the given angles. These two angles give the same range. The 18$^o$ solution results in a fast, low trajectory, while the higher angle results in the water spending more time in the air, and arcing down onto the target.
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