Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.8 - Substituting Data into Formulas - Exercises - Page 258: 9

Answer

$$ \frac{v_f^2-v_i^2}{2g}, \ \ 576 .$$

Work Step by Step

To solve the given equation for $ا$, we move out the term $v_i^2$ and then divide both sides by $2g$ as follows $$ v_f^2=v_i^2+2gh\Longrightarrow 2gh= v_f^2-v_i^2 \Longrightarrow h=\frac{v_f^2-v_i^2}{2g} .$$ Now, by substitution, we have $$ h=\frac{v_f^2-v_i^2}{2g}=\frac{192^2-0^2}{2\times32.0}=576 .$$
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