Answer:
758.295 meters
Explanation:
If for any reason my answer is wrong, feel free to correct me.
As per your question,
The airplanes accelerate uniformly at 2.7 meters per second^2
And they must reach a ground velocity of 64 m/s.
Therefore
S(Displacement) = u(initial velocity) x time + 1/2(acceleration x time^2)
Initial Velocity = 0 m/s(airplane is at rest)
Acceleration is 2.7m/s^2
Time = ?
Acceleration = Final Velocity - Initial Velocity / Time(t)
2.7 m/s^2 = 64 m/s - 0 m/s / t
2.7(t) = 64
t = 64/2.7
t = 23.703703... rounded to 23.7
S = 0(23.7) + 1/2[2.7 x (23.7)^2]
S = 1/2(2.7 x 561.7) 561.69 is the original answer rounded to 561.7
S = 758.295 meters
Final Answer - An airport would require a runway of minimum length of 758.295 meters to accommodate aircraft of the respective specifications.