The plane will need 330.63m of runway for takeoff.
Why?
Since we already know the desired speed (46 m/s) of the plane and we know its acceleration (constant acceleration, 3.2 m/s2), we can calculate how much runway is needed for takeoff.
We can solve the problem using the following formula:


Where,
V is the final speed
Vo is the initial speed (which is equal to 0 assuming that the plane was in rest)
a is the acceleration of the movement.
d is the distance.
Now, substituting the given information and calculating, we have:

Hence, we have that the plane will need 330.63m of runway for takeoff.
Have a nice day!