Can I survive a free fall using a ramp and a rope? Can I survive a free fall by carrying a very light and resistant ramp using a rope?

Note: lets assume the ramp is a little bit heavier at the bottom and I am very skilled at making it always land correctly, also I am wearing a ultra-oiled suit.
 A: In the global, cartoon, sense, yes, this problem is equivalent to having a whole row of carefully designed, placed and arranged ramps so that you fall onto the first one, get "flung" out such that you then land on the next one and so on, until dissipation wastes away the energy.  Obviously this can be done since it is the same principle as is used in say motorcycle jumps.  The key feature is that you never experience accelerations large enough to kill you (it's not the fall that kills you, it's the sudden stop at the end).
It is all the details will cause problems.


*

*First, with just a rope, you don't have any control over how/where the ramp will land,  you may not hit the gentle slope-part and thus have a hard impact,

*Note that the ramp itself will need to be strong enough to survive its own impact, as well as resisting the (ideally small) impact of your body.  In addition, it will need to be large enough that the centripital (sic?) force applied to your body is small enough to not cause any damage (this is significantly larger than indicated in the drawings).  This is a non-trivial design problem.

*Another design aspect is the trade-off between having the ramp be light enough so that 
your tethered connection to it doesn't hurt you, and having sufficient elasticity in the tether itself, the more slop in the tether.  Note that having a large, low weight  ramp will encounter more air-resistance, and thus you'd hit the ground before it.

*You implied multiple bounces, this could be accomplished by arranging that you hit the ramp in the reverse direction for the second bounce.  But again, there are control issues in ensuring that this would occur.

A: To put this in perspective: Apart from the speed lost due friction in the ramp (which, for the scale of it, won't make much of a difference) , when you exit the ramp you need to decelerate by applying the force to the ramp through the rope.
That is almost the same force that your body would suffer when crashing into the ground, only that concentrated in the parts of your body that hold the rope. If you hold the rope with your hands it will slip, if it is attached to your arm it will be probably torn off. Even with a more suited harness, your internal organs still will suffer the high deceleration that usually is the cause of death (remember, it is not the fall that kills, it is when you stop falling).
It is like throwing yourself from an airplane at 10,000 meters tied to a rope 9,995 meters long; when the rope stops descending you are in a big trouble.
As with bungee jumping, an elastic rope could offer a more suitable solution (as it allows applying the deceleration for a longer span of time, thereby needing less time), but at the speed you would be going then probably the rope will be either too inelastic, or too long for safely stop you before you hit the ground.
A: This death roller coaster kills it's passengers by subjecting them to continuous 10g centrifugal acceleration, starving the brain for oxygen. The force is held constant regardless of friction, by reducing the radius of the circles.
I am posting this to illustrate that constant low-g acceleration can still kill you.

A: You will die.
Terminal velocity is a bit more than 50 m/s. The bottom of your ramp appears to have a radius less than 2m. That means you'll be exposed to more than 125g as you zip around the bottom. Nice knowing you.
A: Due to terminal velocities (maybe we should concern about this velocity), a free-fall would end up atleast barely some $50 m/s$.
By light, I assume that you mean that the ramp is somewhat comparable (though it is massive) to your own weight. Then, it wouldn't definitely survive the crash. Such an impact wouldn't be survived by any known light materials (I think so). Would it be elastic, then you'd fall right away through it.

That oily friction part is somewhat encouraging. But, you couldn't carry such a massive body after you slide off. We've got two cases...
1) Assuming that your hand is robotic, you'll just rip your hand off which looks imaginary..!
2) The other one is worse. You'd leave away the rope (due to the same friction which discourages here)

Any way - You'll die: (But what about a new plan) You'd need a longer rope than you actually have now. Then, You could build an airbag-like ramp or something which automatically fills itself as it crashes the ground and then you could slide or roll or whatever...
A: There is only one (safe) way to test this model; why not program a simulation of it and see what happens?
We can neglect air resistance and all that, but you need to at least come up with some dimensions or else we can never know if the whole idea is madness or not. 
I would put pen to paper and think of something you can work with, (e.g. the slope and dimensions of the ramp, the initial conditions etc) run it on the computer and see if your stick man lives. 
