1. how fast does [a black hole] grow?

The radius of a black hole is proportional to its mass.

If the mass stays the same, the radius stays the same (no growth).

If matter and/or energy falls into a black hole, it's mass grows, and its radius grows.

2. By what means is light unable to escape a black hole?

Similar to the Doppler shift (imagine a fire engine siren passing you on the street), there is a

gravitational red shift in the vicinity of any mass, as predicted by Einstein.

A photon released outside the event horizon of a black hole can escape from the black hole, but after escape, it's frequency is lower (red-shifted), and its energy is lower (the energy of a photon is proportional to frequency).

The closer to the event horizon you release a photon, the more the energy is red-shifted. If this trend continued, a photon released

*at* the event horizon would have its energy red-shifted away to

*nothing*.

does time/space continue to warp and stretch inside the black hole?

There are various theories about what goes on inside a black hole. But current theories are pretty unanimous in saying that observers

*outside *the black hole can only find out a very limited amount about what is

*inside *the event horizon. For example, the black hole's

Mass, Electric Charge, and Angular Momentum (how fast it spins).

The best of our current theories break down

*at *the event horizon - all we can say is what we expect as we

*approach *the event horizon.