A jump is something the object does for themselves. A human, a dog, or dolphin would jump. They would start at one position and then go up.
A bounce is usually dropped from a height. Like when you bounce a ball. It doesn't just start at the ground and jump. It uses the force of hitting the floor to come back up.
You can see the tools next to the person which usually means work. This can refer to how they worked to get money where the money is on the opposing side of the person.