The kinetic energy is proportional to the temperature.
So first, we know that the kinetic energy of an object is given by:
K = (1/2)*m*v^2
Where v is the velocity and m is the mass.
We know that substances are made of molecules, and these molecules are tiny objects that move. As the temperature increases, you should see that the speed of motion of these particles increases (this is why dilation happens). So, if the velocity increases, then also increases the kinetic energy of the molecules in the substance.
The thermal velocity is approximated by:
[tex]v = \sqrt{(k/m)*T}[/tex]
Where (k/m) is a constant, now, if you replace that in the kinetic energy equation, you can see that the kinetic energy is proportional to the temperature.
If you want to learn more about temperature, you can read:
https://brainly.com/question/21222010