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Solve the quadratic equation in the space below to identify the elapsed time before the keys are caught. Round your answer to the nearest to the nearest hundredth

Solve The Quadratic Equation In The Space Below To Identify The Elapsed Time Before The Keys Are Caught Round Your Answer To The Nearest To The Nearest Hundredt class=

Sagot :

Okay, here we have this:

Considering the provided information, we are going to calculate the requested time, so we obtain the following:

[tex]h(t)=-16t^2+10[/tex]

And he caught them at a height of 4 feet, so we'll substitute and solve for t:

[tex]4=-16t^2+10[/tex]

Solving:

[tex]\begin{gathered} 4=-16t^2+10 \\ -16t^2+10-10=4-10 \\ -16t^2=-6 \\ \frac{-16t^2}{-16}=\frac{-6}{-16} \\ t^2=\frac{3}{8} \\ t=\sqrt{\frac{3}{8}} \\ t\approx0.61 \end{gathered}[/tex]

Finally we obtain that the time where approximately 0.61.

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