They are not related
The speed of light does not have a temperature.
as the temperature goes up the speed of the particle goes up
The speed of light is about 900,000 times as fast as the speed of sound in air.
The speed at which light travels through a substance such as air depends on its density, which in turn depends in part on temperature.
When temperature rises, the density of the medium changes. Speed of light through a medium is inversely proportional to the density of medium. So when the temperature increases, the density decreases and the speed of light in that medium increases. Note that this is the indirect effect of temperature. If light is travelling through vaccuum , then the temperature will have no effect on the speed of light.
The index of refraction of a substance is(The speed of light in vacuum) divided by (the speed of light in the substance) .
If there is an increase in the temperature of a substance, that indicates the increase in vibration and speed of the particles. If there is a decrease in the temperature of a substance, that indicates the decrease in vibration and speed of the particles.
When light with wavelength of 589 nanometers moves through water at the temperature of 20° C, its speed is 75% of the speed of light in vacuum.
It never would. Sound is vibration through some physical medium; the speed of sound is related to the speed of the vibrations. No physical medium can move at the speed of light, so the speed of sound could never get there.
no
A measure of the speed of molecules is the temperature of the substance they are in. Temperature is related to the average kinetic energy of the molecules, and the higher the temperature, the faster the molecules will be moving.
Time and space are related by the speed of light space r=ct where t is time and c is the speed of light.