Question

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

Answer 1

Okay, here we have this:

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

`h(t)=-16t^2+10`

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

`4=-16t^2+10`

Solving:

`\begin{gathered} 4=-16t^2+10 \\ -16t^2+10-10=4-10 \\ -16t^2=-6 \\ (-16t^2)/(-16)=(-6)/(-16) \\ t^2=(3)/(8) \\ t=\sqrt{(3)/(8)} \\ t\approx0.61 \end{gathered}`

Finally we obtain that the time where approximately 0.61.