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 100: 64

Answer

8.75m/s

Work Step by Step

The range has to be minimum 2.5+1.4=3.9m. So, $R=\frac{v_{0}^{2}sin\theta}{g}$ or, $v_{0}=\sqrt \frac{gR}{sin2\theta}=\sqrt \frac{9.8\times3.9}{sin(2\times15^{\circ})}=8.75m/s$
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