In my last post about market physics, I talked a little about looking at the speed of the market. I used to trade OEX options while I was working at IBM as a contractor for a little while in 1995, when I first got interested in trading. I traded those because it's the S&P 100 instead of 500 (theoretically fewer stocks to track), plus the options were cheaper to trade than the S&P 500.
This turned into a big problem because I'd enter a trade before I'd go to work, and then I'd stress out during the day, and would wonder what my stocks were doing. It helped that at the time the people I was working with were obsessed with the price of IBM stock, almost as much as I was with my options. (Or moreso, because they had more money vested -- I just played with play money, a few thousand extra that I had on hand). It seemed like they were constantly watching the stock price go up and down all day because they mentioned it several times a day. (Most of them still seemed to get the work done). I would call in every couple of hours to see how my options were doing, but I had to quit trading once I made about $3000, because my options were going up and down thousands every couple of hours, and it was too stressful for me to deal with at work while trying to get work done.
Below is a chart that I made off of the talk that I had before. I plotted the delta (change in price from day to day), labeled rd (or raw delta), the speed (or rate of change), plotted as rv (raw velocity). Looking at the acceleration really helps things, I think, because if you look at it, until the acceleration slows to zero and starts going the other direction, and the velocity starts going in the other direction, does the price start moving in the other direction.
One of the things about indicators is that a lot of traders use moving averages. The problem with them is that moving averages are not a leading indicator. A leading indicator is one that tells you before a change happens that it's probably about to happen or will happen. Velocity and acceleration are leading indicators, in that the market has to slow movement in one direction before moving in another direction. The acceleration has to slow before the velocity slows, and the velocity has to slow before the market turns around to move in another direction. (Usually). The big exception to this is sometimes in the morning, the market just starts out at some value that is quite unexpected (especially if there is overnight or weekend news), or when there is some big news item during the day, that affects prices suddenly.

I plotted the other changes as well, and that's when I started wondering about the labels. In Physics, we studied rate of change, velocity, change of position, etc., but I couldn't remember what we called the higher order changes (these are called derivatives in physics). So I looked it up, and the third derivative (change in acceleration) is supposedly called jerk in the U.S. It's called jolt in Britain. I don't know if this is a joke, or what, (
http://en.wikipedia.org/wiki/Jerk_(physics)). The higher order ones are called "snap, crackle and pop."???
At any rate, I'm still looking at the higher order derivatives and how they help, but the jolt is definitely a change in acceleration, and you can look at a slowing or speeding up of acceleration to see when acceleration is going to change, and when the speed changes accordingly. When the acceleration slows, then it seems to be a leading indicator that speed is probably going to slow.