The acceleration rate times the time spent taking off is the takeoff speed. Two of the numbers you were given (mass and runway length) are not needed to solve the problem. Takeoff does not require the full runway length. It would be dangerous if it did.
The runway length actually used is
(1/2) a t^2 = (1/2)*5*9^2 = 202.5 m
A 1200 kg airplane starts from rest and with a constant average forward acceleration of magbitude 5.0 m/s, reaches its takeoff speed in 9.00 s. The runway is 300 m long. What is the plane's takeoff speed?
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