Automate a gradual speed up or slow down of a clip.

It would be nice to be able to take a clip and have it transition from one speed to another gradually. Further more, it would be nice to pick whether this transition happens in a linear fashion (abrupt start and end) or tapered fashion (smoothed start and end).

Currently it is possible to cut a clip into multiple segments and increment each clip from your required start speed to your end speed. This is time consuming and technically difficult. Faster speeds require larger original clip segments and slower speeds require smaller original clip segments. Trying to figure out the correct way to slice the clips required a bit of calculus in the case of a tapered speed ramp. There is also the added problem of having all the multiple segments to deal with which would require an additional export to make them usable as a unit. (It would also be great if the audio came with it but I know that is already requested.) I would gladly provide pseudo code and/or calculus help. (In my opinion for this to be simple it would have to be part of the advanced speed settings of a clip.)