Hi I am in 12th grade and have a couple questions. obviously they are based on simplified views of physics because of my level of learning but I frequently look up physics lectures so i am not completely ignorent. I have also looked up online for this answer but it is elusive.
I am currently in a calculus section involving higher orders. f(x)=cosx is a representation of a light particle's wave length is it not? so are sinx, -cosx and -cosx. all different views. however these repeat themselves over and over again when made to higher orders and i would assume it would do the same with integrals. is this why light cannot accelerate in a mathematical view? because it physically cannot do anything else but have the same "speed, acceleration, jerk etc...". I put quotations because they all, in this case, do the same thing in space and time.
If I am entirely wrong or on my best hopes even partially wrong. please give a detailed feedback.
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