Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 74

Answer

Time taken by the object will be 6.73 seconds.

Work Step by Step

Distance s(t) in feet travelled by a freely falling object is given by the function $s(t)=16t^2$ The height i.e. s(t) of Hoover Dam is 725 feet. Time taken will be- $s(t)=16t^2$ Step-1: Substitute s(t) in the formula $725=16t^2$ Step-2: Divide both sides by 16 $\frac{725}{16}=t^2$ Step-3: Use the square root property $±\sqrt \frac{725}{16}=t$ $± \frac{26.9258}{4}=t$ $± 6.7314=t$ Since time cannot be negative, $t=6.7314$ seconds which is approximately equal to 6.73 seconds.
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