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: 7

Answer

$\frac{v_f-v_i}{a}, \ \ 9.90 .$

Work Step by Step

To solve the given equation for $t$, we move out the term $v_i$ and then divide both sides by $a$ as follows $$ v_f=v_i+at\Longrightarrow v_f-v_i=at \Longrightarrow t=\frac{v_f-v_i}{a} .$$ Now, by substitution, we have $$ t=\frac{v_f-v_i}{a}=\frac{193.1-14.9}{18.0}=9.90 .$$
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