Question 338458
Convert to vertex form,
{{{s(t) = -16t^2 +48t + 46}}}
{{{s(t)=-16(t^2-3t)+46}}}
{{{s(t)=-16(t^2-3t+9/4)+46+16(9/4)}}}
{{{s(t)=-16(t-3/2)^2+46+36}}}
{{{s(t)=-16(t-3/2)^2+82}}}
The max height occurs at the vertex, (3/2,82).
{{{smax=82}}}ft.