A rocket is shot from an underground bunker. The height of the rocket after $\displaystyle{t}\usepackage{cmbright}\Huge\$ seconds is given by $\displaystyle{y}=-{16}{{t}}^{{2}}+{176}{t}-{384}\usepackage{cmbright}\Huge\$ (measured in feet relative to the surface). Determine how long after the rocket is launched that it will emerge from the ground, and determine how much longer it will be for the rocket to hit the ground.