Explain how the following experiment shows the direction that gravity pulls an object, specifically showing that it does not pull an object parallel to the ground. A rubber ball is dropped from the top of a ladder. It bounces on the same spot several times, each time to a lesser height than the previous bounce, before coming to rest in place.

Firstly you need to know what is gravity?

Explanation:

The size of the gravitational force is proportional to the masses of the objects and weakens as the distance between them increases. Both objects exert an equal attractive force on each other: a falling object is attracting the Earth with the same size force as the Earth is attracting it.

Now you need to know why a rubber bounce?

When a rubber ball hits something, it absorbs energy and releases energy really fast, Zheng said. ... When it hits something, it stops, and the kinetic energy is stored inside the ball as internal energy. Then it can quickly convert the internal energy back into kinetic energy which allows the ball to bounce back

Now you want  to know why does a rubber bounce lower each time?

The rubber slows down, deforms temporarily and shoots back up. The air in the ball acts like a spring—it gets compressed and expands again. During the collision, some of the rubber's's energy is converted into heat. As a consequence, the ball shoots up with less energy than it had when it reached Earth.

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yes the answer is total mass in unchanged   : )