A rock that falls off a cliff demonstrates both potential and kinetic energy. Which is the best comparison of these two forms of energy? A. As the kinetic energy increases, the potential energy decreasesB. As the potential energy decreases, the kinetic energy decreasesC. The amount of kinetic energy is equal to one-half of the potential energyD. The amount of potential energy is equal to one-fourth of the kinetic energy.

The answer is A

Answer: A. As the kinetic energy increases, the potential energy decreases

Explanation:

Kinetic energy is the energy by virtue of its motion. It can be written as;

K. E = 0.5mv^2

Where m = mass, v = velocity,

Potential energy is the energy by virtue of its position. It can be written as;

P. E = mgh

Where m = mass, g = acceleration due to gravity

h = height.

Therefore, when an object falls from a cliff, the potential energy is at maximum at the top of the cliff (height is directly proportional to the P. E), and the P. E reduces as it falls down the cliff. While for kinetic energy, it is at minimum at the minimum value at the top of the cliff increases as it falls down because of increasing in velocity as the object moves down.

Hence, the kinetic energy increases as the potential energy decreases.