Answer
$t=5$
Work Step by Step
We set $h$ equal to $0$:
$0=-16t^{2}+400$
$16t^{2}=400$
$t^{2}=25$
$t=5$ or $t=-5$
We know that $t$ can not be negative, so the only possible value of $t$ is $5$
$t=5$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.