Final answer:
The distance an egg falls when dropped from a certain height follows a quadratic function due to the constant acceleration of gravity. The ball's vertical acceleration due to gravity is constant over time, and its vertical velocity changes negatively over time until it contacts the ground.
Step-by-step explanation:
If an egg is dropped from a certain height, the distance it falls over time follows a quadratic function. This is because the acceleration due to gravity is constant, and the distance an object falls is proportional to the square of the time it has been falling (assuming no air resistance and starting from rest).
Thus, as time increases, the distance does not remain constant, nor does it increase linearly or exponentially. The graph of distance versus time will be a parabola.
When considering the ball's vertical acceleration versus time in a situation where a ball is launched horizontally, the acceleration remains constant due to gravity, represented by option A.
A ball's vertical velocity versus time graph starts from an initial value depending on the launch conditions and becomes more negative due to acceleration by gravity until the ball hits the ground, represented by option D.