Question

look at the matched data for the height of the skater and the amount of potential energy they have. which mathematical relationship explains how the amount of potential energy depends on height? constant negative linear positive linear 2.00 m 3.00 m 4.00 m 5.00 m 6.00 m 1170 j 1760 j 2350 j 2940 j 3530 j

Explanation:

Step1: Recall potential - energy formula

The gravitational potential energy formula is $U = mgh$, where $U$ is potential energy, $m$ is mass, $g$ is the acceleration due to gravity, and $h$ is height. Since $m$ and $g$ are constant in this case, $U$ is directly proportional to $h$.

Step2: Analyze the relationship

As height $h$ increases, potential energy $U$ increases. A positive - linear relationship means that as one variable (height) increases, the other variable (potential energy) increases in a linear fashion.

Answer:

positive linear