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
%
10
12
initial velocity (fs) 1175 144 166 186 203.5 235 263 281.5
The height of the firework 1 seconds after it is launched is given by h -167 + w where v is the
initial velocity, Use the discriminant to determine the mallest size shell that will reach over 555
feet