Given t = time and h = height
[tex]h(t) = - 16(t - 1)^{2} + 16[/tex]
From the equation.
[tex]y = a(x - h)^{2} + k[/tex]
h is the axis od symmetry
(h, k) is the vertex.
In the equation, h is 1 and k is 16.
So the maximum value is 16 at t = 1.
The ball reaches maximum at 16 and it takes t = 1 to reach the maximum point.