A diagram of a roller-coaster track is shown below. Select the position on the track at which a roller-coaster car has the most gravitational potential energy.

To determine the position on the roller-coaster track where the car has the most gravitational potential energy, we need to consider the following:

1. Understanding Gravitational Potential Energy: Gravitational potential energy (GPE) is given by the formula: $\text{GPE} = mgh$ where $m$ is the mass of the roller-coaster car, $g$ is the acceleration due to gravity, and $h$ is the height above a reference point.

2. Analyzing the Track Diagram: Typically, a roller-coaster's potential energy is highest at the highest point of the track. This is because the height $h$ is maximized.

Final Answer

The position on the track with the most gravitational potential energy is at the highest point of the roller-coaster track.