Malcolm is solving the following problem:

"A bottle rocket is launched directly upward at 160 feet per second from a plateau that is 105 feet high. Find the maximum height the ball reaches and how long it will take to get there."

After substituting known values into the equation $\displaystyle{h}=-{16}{{t}}^{{2}}+{v}_{{o}}{t}+{h}_{{o}}\usepackage{cmbright}\Huge\$ , he completed the square and put the equation in vertex form: $\displaystyle{h}=-{16}{{\left({t}-{5}\right)}}^{{2}}+{505}\usepackage{cmbright}\Huge\$ . What can he conclude?