Answer
5 seconds
Work Step by Step
$h=-16t^2+64t+80$
$0=-16t^2+64t+80$
$0/-16=(-16t^2+64t+80)/-16$
$0 = t^2-4t-5$
$t^2-4t-5$
$t^2-5t+t-5$
$t(t-5)+1(t-5)$
$(t-5)(t+1)$
$t-5=0$
$t=5$
$t+1=0$
$t=-1$ (this answer is not valid since we cannot have a negative time)