Physics: Principles with Applications (7th Edition)

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

Chapter 2 - Describing Motion: Kinematics in One Dimension - General Problems - Page 46: 69

Answer

The average deceleration while under the water is $20 ~m/s^2$.

Work Step by Step

In the air: $v^2 = 2ay$ $v = \sqrt{2ay} = \sqrt{(2)(9.8)(4.0)} = 8.9 ~m/s$ In the water: $a = \frac{v^2-v_0^2}{2y} = \frac{0-(8.9)^2}{(2)(2.0)} = -20 ~m/s^2$ The average deceleration while under the water is $20 ~m/s^2$.
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