The correct answer is no, because it will only reach 49.0 m/s before the end of the runway.

If you missed this problem, then it is probably because you didn't convert the 200. km/h to m/s. This is vital. Velocity has to be in m/s. Try it again if this is what you did. After you convert it, you will find that the plane has to reach a minimum velocity of 55.6 m/s before the end of the runway. Since you know the initial velocity, acceleration, initial distance, and final distance, you can plug all these into the equation:

Then you just have to solve the equation. If the final velocity is less than the needed velocity, then it doesn't fly. If it is greater, than the plane achieves flight.