beatrix kiddo said:
the velocity of light changes because the photon (the light) is stopped.
The photon keeps going full throttle till all of a sudden there is no more photon. Instead there is a more energetic electron. There is no time lag between the transition in which you could say there is a photon with no velocity, a "stopped" photon.
All the energy the photon had is now possessed by the electron which will jump to a higher orbit, meaning it is traveling in a circle of larger diameter than before (to use the solar system model). It takes more energy to travel in a circle of larger diameter. The electron can do this now because it has all the energy the photon once had, on top of the energy it, itself, had when the photon hit it. The photon's energy is not destroyed.
If you swing a rock tied to a string around it takes a certain amount of energy to keep it swinging. If you let more string out you'll find you have to swing harder to keep the rock in motion: it takes more energy to maintain a larger diameter orbit. Same with electrons. If you zap the electron with more energy by hitting it with a photon it just naturally jumps to the higher orbit. And there's no more photon.
Since it takes less energy for a smaller diameter orbit, the electron releases its extra energy, when it falls back to the lower orbit, in the form of a photon. Is this the same photon that it absorbed in the first place? They haven't figured out a way to tell, but there is nothing to indicate that it is. The electron has a certain total amount of energy and there is no reason to suppose any part of that energy can be distinguised from any other part. The new photon is simply whatever part of it's total energy that is convenient for it to release when it drops down to the lower orbit.
On the level of a single photon it is by no means certain that it will fly off at an angle equal to the angle of incidence. Light only seems to do that
on average. I have just been reading about this in QED by Feynman. The best they can do for a given individual photon is calculate a
probability for its direction. Only on the level of masses and masses of photons do they all add up to the neat and tidy angle of incidence equaling the angle of reflection.