Which statement best describes the results of their investigation?

A.
The more potential energy the band has, the more kinetic energy is transferred, and the farther the band travels.

B.
The less potential energy the band has, the more kinetic energy is transferred, and the farther the band travels.

C.
The more kinetic energy the band has, the more potential energy is transferred, and the farther the band travels.

D.
The less kinetic energy the band has, the more potential energy is transferred, and the farther the band travels.

A. The more potential energy the band has, the more kinetic energy is transferred, and the farther the band travels.

The statement that best describes the results of their investigation is A: The more potential energy the band has, the more kinetic energy is transferred, and the farther the band travels.

To determine which statement best describes the results of the investigation, one would need to understand the relationship between potential energy, kinetic energy, and the distance the band travels.

Potential energy is the energy stored in an object due to its position or condition. In this case, it refers to the energy stored in the band before it is released.

Kinetic energy, on the other hand, is the energy associated with the motion of an object. It refers to the energy the band has as it travels through the air.

According to the statement A, the more potential energy the band has, the more kinetic energy is transferred, and the farther the band travels. This implies that there is a positive correlation between potential energy and the distance the band travels. As the potential energy increases, more kinetic energy is transferred, resulting in the band traveling a greater distance.

Statement B suggests that the less potential energy the band has, the more kinetic energy is transferred, and the farther the band travels. This implies an inverse relationship between potential energy and the distance the band travels. As the potential energy decreases, more kinetic energy is transferred, resulting in the band traveling a greater distance.

Statement C claims that the more kinetic energy the band has, the more potential energy is transferred, and the farther the band travels. This suggests a positive correlation between kinetic energy and the distance the band travels. As the kinetic energy increases, more potential energy is transferred, leading to the band traveling a greater distance.

Statement D suggests that the less kinetic energy the band has, the more potential energy is transferred, and the farther the band travels. This implies an inverse relationship between kinetic energy and the distance the band travels. As the kinetic energy decreases, more potential energy is transferred, resulting in the band traveling a greater distance.

Considering the definitions of potential and kinetic energy, statement A seems to best describe the relationship between potential energy, kinetic energy, and the distance the band travels. As the band has more potential energy, it will have more kinetic energy and travel a greater distance.