potential and kinetic energy select the position where the ball has the greatest potential energy.

Explanation:

Step1: Recall potential - energy formula

The gravitational potential energy formula is $U = mgh$, where $m$ is mass, $g$ is gravitational acceleration, and $h$ is height. Assuming mass $m$ and $g$ are constant, potential energy depends on height $h$.

Step2: Identify highest - position

Among points A, B, C, D, E, and F, point E is at the highest position on the graph. So it has the greatest height $h$. According to the formula $U = mgh$, when $h$ is the greatest, the potential energy $U$ is the greatest.

Answer:

E