Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 2 - Kinematics in One Dimension - Problems - Page 50: 57

Answer

Speed of the raft, $v\approx 0.767$ $m/s$

Work Step by Step

Let, down be the negative direction In case of stone: $s=ut+\frac{1}{2}gt^{2}$ $-75=(0)t+\frac{1}{2}(-9.8)t^{2}$ $t=\sqrt \frac{150}{9.8}$ $t\approx 3.91$ $s$ In time $3.91$ $s$, the raft travels a distance $(7-4)=3$ $m$ with an constant speed (say $v$) Hence, $x=vt$ $v=\frac{x}{t}$ $v=\frac{3}{3.91}$ $m/s$ $v\approx 0.767$ $m/s$
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