Maxwell equations not only unified electricity and magnetism, they also unified optics into electromagnetism. it is interesting to see if we can get the laws of reflection and the refraction, the later often referred to as snell’s law, using maxwell equations and boundary conditions.
q.1: starting from maxwell equations and proper boundary conditions, derive these laws of optics, and give a short comment on the importance of your derivation.

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?