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

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?