Brain Storming - Time and Distance

[AntonVrba]

Many physical constant can be expressed in terms of Energy, Time [T] and Distance [L].

Now some basic qestions for a brain storming session.

1. if acceleration is L/T^2 then what name would you give the next term L/T^3 ?

2. if the speed of light is the maximum speed is there also a limit to the acceleartion L/T^2, L/T^3 and L/T^4 etc.

3. if frequency is 1/T then what is and what name would you give 1/L ?

4. similarly has inverse speed T/L or better T/L^2 any physical meaning, or am I just stretching my abstract mind a bit too far.

regards and have fun

 

[Mk]

1. Change in speed is acceleration, change in acceleration is jerk, change in a jerk is a snap, change in a crackle, change in a crackle is a pop. Those silly physicists... spagettification, branes, swiss meatballs, cereal related technical names...

And in England a jerk is also referred to as something else I believe, but its more common to say its a jerk.
2. Yes, of course relatively.
3. Speed, I would say. 1 something per time amount, let's say second. That sounds like Frequency. 1 something per distance unit, that sound like speed.
4. Well, pretty much everything has a physical meaning, including inverse acceleration. Just look at teh 336,000 results I got on google.

 

[Antiphon]

1) I believe it's called Jerk, like jerking a rope.
2) There is NO upper limit to acceleration.
3) 1/L -> Wavenumber is the closest concept I think.
4) You can always make a situation where it is assigned
physical meaning.

Keep stretching. You're doing well.

 

[Crosson]

Acceleration is not limited, feel free to accelerate at a trillion meters per second /second (for a time far shorter than a second, of course).

similarly has inverse speed T/L or better T/L^2 any physical meaning, or am I just stretching my abstract mind a bit too far.

If we believe in time as passing at an absolute rate, it is obvious why we would measure distance L relative to a standard T. Because of special relativity, it is speed that is absolute (neither distance or time pass at an absolute rate) so we can convert meters equivalently to seconds.

 

[BigStelly]

No the derivative of acceleration is surge, then its jerk I am not aware what the 5th derivative of position is.

 

[Alkatran]

Interesting, these signs made me think:

if the sum of all the momentums is conserved (m/s)
and the sum of all energies is conserved (m/s)^2
can we deduce that the sum of all (m/s)^3 is conserved? I suppose I should probably just try a few problems and see if the before/after match up after solving using momentum and energy conservation.

 

[KingNothing]

No the derivative of acceleration is surge, then its jerk I am not aware what the 5th derivative of position is.

According, to http://www.absoluteastronomy.com/encyclopedia/d/de/derivative.htm jerk IS the first derivative of acceleration. No one really cares what the rest are, there's a point where it's only used for math anyway, and doesn't get applied.

Oh, and to #3, I would call it inverse distance.