Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 4 - Integration - 4.7 Rectilinear Motion Revisited Using Integration - Exercises Set 4.7 - Page 331: 38

Answer

\[ 24 \mathrm{ft} / \mathrm{s} \]

Work Step by Step

\[ \begin{array}{l} s(t)=s_{0}+v_{0} t-\frac{g}{2} t^{2} \\ v(t)=v_{0} -g t\\ g=32 \mathrm{ft} / \mathrm{s}^{2} \end{array} \] Using Formula (15) and Formula (16) from the book: $0=s(t)=112-v_{0} \cdot 2-4 \cdot 16$ $\Rightarrow -48= -2 v_{0}$ $\Rightarrow -24=-v_{0} \\ v_0 = 24 ft/s $
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