Why does light remain uneffected by the inertial velocity ?

Good Q. the study of wave properties requires about 1 year in Physics.

the wave compared to particle motion is well known

some of the major differences:

a Particle moves from place to place, example a thrown ball

A wave is a disturbance in a medium. the parts of the medium do not leave their local positions, it is the disturbance or deviation from the normal rest position that moves. Example. people in a stadium wave their hands or bodies but remain in their seats. From a distance it looks like the wave travels around the stadium

Speed of a particle depends on the energy and momentum imparted at the source

A wave speed depends only on the properties of the medium itself, not the properties of the source

C, the speed of light is as property of the universe and is the same to all observers

v the speed of the bullet depends on the motion of the source. EX the bullet from an airplane strikes the ground at airplane + gun speed. light leaves the airplane at C, travels through empty space, whatever that is at C and is seen by the observer as C even though the observer is moving toward the source

What does change in light is wavelength and therefore frequency as seen by the observer. that is how Hubble inferred the distant stars were moving

WOW a years worth of Physics lessons in 15 minutes, Quiz on Friday

The simplest explanation that I can think of is that light has no mass. For anything to be affected by inertial velocity, it needs to have mass, since inertia is mass dependent, and therefor "inertial velocity" is a nonsense for non-material stuff.

The velocity of the observer relative to the emitter does affect the energy and wavelength of the light. The same photon does have different energies and wavelengths in different inertial reference frames. So your question makes no sense.

can you think of an example of a wave that doesnt? they all do.... Read up on Maxwells equations