interpreting graphs for ke and mass\nwhich graph best represents the relationship between ke and…

Explanation:

Step1: Recall kinetic - energy formula

The formula for kinetic energy is $KE=\frac{1}{2}mv^{2}$, where $v$ is the velocity and $m$ is the mass. When the velocity $v$ is constant, $KE$ is directly proportional to the mass $m$ (since $\frac{1}{2}v^{2}$ is a constant in this case).

Step2: Identify the graph for direct - proportionality

A direct - proportional relationship between two variables $y$ and $x$ is represented by a straight - line graph passing through the origin ($y = kx$, where $k$ is a non - zero constant). In the case of $KE$ and $m$ with constant $v$, $KE$ is directly proportional to $m$, so the graph of $KE$ versus $m$ is a straight line passing through the origin.

Answer:

The first graph (the straight - line graph with a positive slope passing through the origin)