After reading this thread, I tried this. (See the results in the attached graphic).

Load an easy rope (e.g. 20ftRope).
Load a Ball primative.
Position Ball next to bone_1 of the Rope figure.
Make the Ball the parent of the Rope Body.

Create a new Bullet Physics simulation.
Set Rope figure to be Soft Dynamic.
Set the Ball (and Ground and stairs etc) to be Choreographed.

Move the Ball to different positions at different keyframes.
Run the simulation.

I am not an expert with Bullet. But for this demo, I found setting the Rope's "Linear stiffness" affected the elasticity of the rope; and "Linear Damping" to affects it's flexibility.

Note. The easyrope figure does not maintain it's shape and it turns into something like a ribbon. I suspect other Bullet settings would help.