College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 2 - Kinematics: Description of Motion - Learning Path Questions and Exercises - Exercises - Page 63: 60

Answer

$a).$ (3) four times that of cliff B $b).$ Height of cliff A = 15.88m, and that of cliff B = 3.97m.

Work Step by Step

a). $t_{a}=2\times t_{b}$ $S=ut+\frac{1}{2}gt^{2}=0+\frac{1}{2}gt^{2}=\frac{1}{2}gt^{2}$ So, $S_{a}=\frac{1}{2}gt_{a}^{2} \,\,and \,\, S_{b}=\frac{1}{2}gt_{b}^{2}$ So, $\frac{S_{a}}{S_{b}}=(\frac{t_{a}}{t_{b}})^{2}=4$ $S_{a}=4\times S_{b}$ So, the answer is (3) b). $S_{a}=0.5\times 9.8\times 1.8^{2}=15.88m$ and $S_{b}=3.97m$
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