Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 11 - Quadratic Functions and Equations - 11.1 Quadratic Equations - 11.1 Exercise Set - Page 707: 82

Answer

$\text{11}\text{.4sec}$

Work Step by Step

$\left( s=2063\text{ft} \right)$ Put the value of $s$ in the expression, $\begin{align} & s=16{{t}^{2}} \\ & 2063=16{{t}^{2}} \\ & \frac{2063}{16}={{t}^{2}} \end{align}$ And, $\begin{align} & \frac{2063}{16}={{t}^{2}} \\ & 128.9375={{t}^{2}} \end{align}$ Use the principle of square roots, $\begin{align} & {{t}^{2}}=128.9375 \\ & t=\sqrt{128.9375} \\ & \approx \pm 11.35 \end{align}$ We only consider the positive values of time. Therefore, the approximate value of $t$ is, $t\approx 11.4\text{sec}$
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