This jump requires finesse, not speed. In fact, you don't want to have a lot of speed for this jump.
You should be going fairly slow, just fast enough to make the gaps. You should be turning pretty hard
on each of the platforms, otherwise you'll fly off. (Notice how I'm facing almost slightly backwards on the
second and third curvy platforms.) When you approach the end of each of the curvy platforms,
it's best to turn 180 degrees the instance before you jump so that you anticipate the arc of the next curve.