Organizers are launching fireworks over the top of the Washington Monument in Washington, DC. Due to costs, they would like to find the
smallest shell possible that will reach the correct height. The monument
is 555 feet tall. The initial velocities of each size shell are given below.

size (in.) 2 3 4 5 6 8 10 12
initial velocity (ft/s) 117.5 144 166 186 203.5 235 263 287.5

The height of the firework t seconds after it is launched is given by
h = -16t^2 +vt where v is the initial velocity. Use the discriminant to determine
the smallest size shell that will reach over 555 feet. Explain. PLEASE HELP I WILL MARK BRAINLIEST!!!