Mike is piloting a lear jet traveling at 199.0 m/s. He accelerates at 8.5 m/s2 over a distance of 2240 meters. How fast will the jet be moving at the end of this acceleration?

v = Vi + a t

d = Vi t + (1/2) a t^2
2240 = 199 t + 4.25 t^2
solve quadratic for t
then
v = 199 + 8.5 t