College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 4 - Problems - Page 149: 29

Answer

The sandbag's speed when it hits the ground is 30.0 m/s

Work Step by Step

When the sandbag is released, it will have an initial velocity of $10.0~m/s$ upward. We can find the velocity when the sandbag hits the ground: $v_f^2 = v_0^2+2a\Delta y$ $v_f = \sqrt{v_0^2+2a\Delta y}$ $v_f = \sqrt{(10.0~m/s)^2+(2)(-9.80~m/s^2)(-40.8~m)}$ $v_f = -30.0~m/s$ The sandbag's speed when it hits the ground is 30.0 m/s
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