What do you get when you take the derivative of a jerk vs time graph?

Question

ie. derivative of accel vs time= jerk

what is the derivative of jerk vs time?

Answer 1

If p(t) is your position with respect to time, then:

p'(t) = v(t) is your velocity,
p''(t) = a(t) is your acceleration,
and p'''(t) = j(t) is your jerk.

...Soooooo, the derivative of jerk versus time is
p''''(t), the fourth derivative of your position with respect to time. The jerk gives a measure of how jerky your movement would feel (a large positive or negative jerk would correspond to jerky feeling movement), so the derivative of jerk gives you a measure of how fast the jerkiness of your movement is changing with respect to time. If it goes from very jerky to rather smooth, then the derivative of jerk is negative. If your movement gets more jerky, then the derivative is positive.

Answer 2

If I understand your question correctly, then I think what you get from the derivative of a jerk is a twitch, a nitwit and a nobody. That is the best I could come up with from the derivative of a jerk.

Answer 3

It's hard to conceptualize what exactly the rate of change of jerk
would be in terms of everyday experience. I can't think of any
situation off of the top of my head, at least. From Wikipedia:

"Higher derivatives of displacement [higher than jerk] are rarely
necessary, and hence lack agreed names. The fourth derivative of
position was considered in development of the Hubble Space
Telescope's pointing control system, and called jounce. Many other
suggestions have been made, such as jilt, jouse, jolt, and delta
jerk. As more distinct terms that start with letters other than
'j', snap, crackle, and pop have been proposed for the 4th, 5th,
and 6th derivatives of displacement, respectively, with some
nonzero positive value for tongue-in-cheek."

So apparently you don't need to worry about "jounce" until you're
doing something as precise as trying to use a hunk of metal
floating in space to focus on objects billions of light-years away.

Answer 4

In our area jerk is commonly called as Impulse.

The derivative of Impulse will be force.

You can understand this clearly by visiting the following site : http://en.wikipedia.org/wiki/Impulse

Hope you could understand with this.