Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 9 - Quadratic Functions and Equations - 9-1 Quadratic Graphs and Their Properties - Practice and Problem-Solving Exercises - Page 550: 26

Answer

$1.6$ seconds.

Work Step by Step

The given function is $\Rightarrow h=-16t^2+40$ Substitute the value of $h$ into the function. $\Rightarrow 0=-16t^2+40$ Subtract $40$ from both sides. $\Rightarrow 0-40=-16t^2+40-40$ Simplify. $\Rightarrow -40=-16t^2$ Divide both sides by $-16$. $\Rightarrow \frac{-40}{-16}=\frac{-16t^2}{-16}$ Simplify. $\Rightarrow 2.5=t^2$ Take the square root on both sides. $\Rightarrow 1.6=t^2$. Hence, the orange hit the water in $1.6$ seconds.
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