Final answer:
The take-off acceleration of an airplane carrying an extra-heavy load would decrease if the force stays the same. This is because the acceleration of an object is inversely proportional to its mass when the force remains constant.
Step-by-step explanation:
The take-off acceleration of an airplane carrying an extra-heavy load would decrease if the force stays the same. This is because the acceleration of an object is inversely proportional to its mass when the force remains constant.
According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. So, as the mass of the airplane increases, its acceleration decreases.
For example, if a plane with a certain force produces an acceleration of 10 m/s² when it is empty, the same force would produce a lower acceleration, let's say 8 m/s², when the plane is carrying an extra-heavy load.