Answer
$t=\frac{-v_0±\sqrt {v_0^2-64s}}{32}$
Work Step by Step
Simply apply the given quadratic equation to the quadratic formula.
$16t^2-v_0t+s=0$
$a=16, b=v_0, c=s$
$t=\frac{-v_0±\sqrt {v_0^2-4*16*s}}{2*16}$
$t=\frac{-v_0±\sqrt {v_0^2-64s}}{32}$