For both the balls falling from a tall building, the distance between them will increase first and then remain constant through the motion. Hence, option (c) is correct.
What is free-fall motion?
When an object is dropped from a certain height such that it allows falling freely under gravity alone, then the motion of the object is known as free-fall motion.
During the motion of both balls, there will be a point where the balls reach the terminal velocity (maximum velocity), this is due to the non-negligence of air resistance. At this point, the force due to air friction will prevent the acceleration due to gravity from speeding up the ball anymore. When the first ball is dropped, it will reach its terminal velocity shortly, but when the second ball is dropped, the second ball requires time to reach its terminal velocity.
The time for the second ball to reach its terminal velocity to match the first ball will increase the distance between them because the first ball is traveling faster than the first ball in this period until the second ball also reaches its terminal velocity. At that point, the distance between the balls will be constant, so long as they continue falling.
Thus, we can conclude that for both the balls, the distance between them will increase first and then remain constant through the motion. Hence, option (c) is correct.
Learn more about the free-fall motion here:
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