Final answer:
The airplane takes 72 seconds to accelerate from rest at a rate of 6.0 meters per second.
Step-by-step explanation:
To find the time it takes for the airplane to accelerate from rest, we can use the equation:
vf = vi + at
Where vf is the final velocity, vi is the initial velocity (which is 0 m/s since the airplane starts from rest), a is the acceleration, and t is the time.
In this case, the final velocity is the given distance 432 m:
432 = 0 + 6t
Simplifying the equation, we get:
t = 432 / 6 = 72 s
Therefore, it takes the airplane 72 seconds to accelerate from rest at a rate of 6.0 meters per second.