In the pit in The Dark Knight Rises, where was the rope tied?

This scene (or the few climbing scenes have a few problems). Surely Bruce could have climbed up the rope and then to the jump point, it would have been a bit faster and easier. However my main problem with these scenes is when Bruce falls.

First the man at the bottom holding the rope should be pulling tight on the rope all the time so when someone falls the rope catches them almost immediately instead of having to fall a long way first.

Secondly after falling a long way the rope catches bruce, however falling this distance and then being caught by a normal rope just tied around the waist would surely break his back (and damage other organs as well) especially as he already had his back broken.

I would have also thought that Bruce could have fashioned some sort of grappling hook and once he had reached the jump section just use that to climb out.