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

Explanation:

Step1: Recall kinetic - energy formula

The kinetic - energy formula is $KE=\frac{1}{2}mv^{2}$, where $m$ is mass and $v$ is speed. Since mass $m$ is a non - zero constant, $KE$ is a quadratic function of speed $v$.

Step2: Analyze the shape of the quadratic function

The graph of a quadratic function $y = ax^{2}$ ($a=\frac{1}{2}m>0$ in the case of $KE=\frac{1}{2}mv^{2}$) is a parabola opening upwards. Among the given graphs, the graph that represents a non - linear, upward - opening relationship between $KE$ and speed is the second graph.

Answer:

The second graph.