Answer
7.75 seconds
Work Step by Step
$h=-16t^2+961$
$0=-16t^2+961$
$0*-1=(-16t^2+961)*-1$
$0=16t^2-961$
$0=(4t+31)(4t-31)$
$4t+31=0$
$4t=-31$
$4t/4=-31/4$
$t=-31/4$ (invalid since we can't have a negative time)
$4t-31=0$
$4t=31$
$4t/4=31/4$
$t=31/4$