Physics Technology Update (4th Edition)

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

Chapter 2 - One-Dimensional Kinematics - Problems and Conceptual Exercises - Page 54: 97

Answer

$\approx -36~m/s^2$ (other approximations are also possible)

Work Step by Step

Let's find the velocity I reach the ground: $v^2=v_0^2+2a\Delta x$ where $v_0=0$, $a=g=9.81~m/s^2$, $\Delta x=1.5~m$. $v^2=0^2+2(9.81~m/s^2)(1.5~m)$ $v=\sqrt {2(9.81~m/s^2)(1.5~m)}=5.42~m/s$ Suppose that it takes $0.15~s$ for me to stop my fall when I reach the ground. $v=v_0+at$ where $v_0=5.42~m/s$, $v=0$, $t=0.15~s$ $0=5.42~m/s+a(0.10~s)$ $-a(0.10~s)=5.42~m/s$ $a=\frac{5.42~m/s}{-0.15~s}=-36~m/s^2$
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