Astranded soldier shoots a signal flare into the air to attract the attention of a nearby plane. the flare has an initial vertical velocity of 1500 feet per second. its height is defined by the quadratic function below. assume that the flare is fired from ground level.
h= v(i)t - 16t^2
if a plane is flying at a height of 30,000 feet, a speed of 880 feet per second, and is 50,000 feet from the flare when it is fired, will the flare hit it? if so, tell when this will happen. if not, tell when the flare reaches the plane’s altitude.

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?