570 feet/second ????
You threw it up at about 400 miles per hour, typo but anyway
where is the vertex of that parabola?
16 t^2 -570 t = -h
t^2 - 265/8 t +265^2/16^2 = -h+265^2/16^2
(t-265/16)^2 = etc
so vertex at t = 265/16
BUT
I do not believe you