Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 13 - Section 13.1 - The Indefinite Integral - Exercises - Page 961: 76

Answer

Prof. Weak throws about $1.73$ times as fast as Prof. Strong.

Work Step by Step

By Exercise $70$, the highest point is $\displaystyle \frac{v_{0}^{2}}{64}$ feet above the starting point. Let $v_{0}$ be the initial speed of Prof. Strong $v_{1}$ be the initial speed of Prof. Weak. We are given$\displaystyle \quad \frac{v_{1}^{2}}{64}=3\cdot\frac{v_{0}^{2}}{64}$ $v_{1}^{2}=3v_{0}^{2}$ $v_{1}=v_{0}\sqrt{3}\approx 1.73\cdot v_{0}$ Thus: Prof. Weak throws about $1.73$ times as fast as Prof. Strong.
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