The barrier is the time it takes people to start to move, not how fast they do once they do move. Therefore start up immediately, but there is no point in zooming ahead. In fact it is counter-productive!
What really matters is reducing how many cars are stopped. Once that gets to zero, the jam can evaporate. Therefore when you see a jam ahead, slow down. Create space. And then try to just barely not have to stop. And when you come away, if there is any sign of a second jam create space and do the same.
The result is you save on brakes, create immediate frustration for any stupid drivers who happen to be behind you, and make life a lot better for cars 20+ behind you.
If just a few percent of drivers did as I suggest, stop and go disappears. In effect slowing in advance moves the congestion back earlier, reduces its size, and makes it easy to have it evaporate.
The reason that traffic jams happen is that freely moving traffic carries more cars per minute than stop and go. So there is a traffic volume where there are two states - everyone moving or traffic jam. But when everyone is moving, even minor slowdowns can cascade and switch states. And once switched, it is impossible to fix until traffic volume dies down and the hard stops are eliminated.
We can't easily fix traffic volume. But the strategy that I suggest eliminates hard stops without reducing cars per minute. And therefore causes the jams to go away faster.
I'm not sure speeding up as fast as you can helps because usually there is another jam around the corner.