The distance widens if there is no air resistance or an equal amount of air resistance. This is owing to the fact that, although having identical accelerations, Ball A's speed will always be different from Ball B's since Ball A has been accelerating for longer than Ball B by one second.
The rate at which speed and direction of velocity vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
A scalar quantity, speed is defined as the quantity of the change in an object's position over time or per unit of time.
Hence, although having identical accelerations, Ball A's speed will always be different from Ball B's since Ball A has been accelerating for longer than Ball B by one second.
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