Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 4 - Two-Dimensional Kinematics - Problems and Conceptual Exercises - Page 108: 76

Answer

$18\frac{m}{s}$

Work Step by Step

We can find the required speed as follows: $v_y^2=v_{\circ}^2sin^2\theta-2g\Delta y$ This can be rearranged as: $v_y=\sqrt{v_{\circ}^2sin^2\theta-2g\Delta y}$ We plug in the known values to obtain: $v_y=\sqrt{(12)^2sin^2(-40^{\circ})-2(9.81)(-10)}$ $v_y=18\frac{m}{s}$
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