POV-Ray : Newsgroups : povray.general : Smooth curve with splines? : Re: Smooth curve with splines? Server Time
4 Aug 2024 16:11:35 EDT (-0400)
  Re: Smooth curve with splines?  
From: Mike Williams
Date: 5 Apr 2003 01:01:48
Message: <5xcSSBABFnj+EwM5@econym.demon.co.uk>
Wasn't it Retsam who wrote:
>Mike Williams wrote:
>
>>>0th derivative: position
>>>1st derivative: velocity
>>>2nd derivative: acceleration
>>>3rd derivative: jerk
>>
>>Actually, for rollercoasters, the 4th derivative has a significant
>>effect on the tendency of the passengers to vomit. It's called "jounce".
>
>Neat.  I hadn't heard of an official name for the 4th derivative yet.  Even
>though all they teach in college is position, velocity, and acceleration,
>there are quite a few indistries where jerk is just as important as the
>other three.  I find it curious that it isn't mentioned more often.
>
>But from what little I've read on higher order derivatives, few industries
>have guidelines/tolerances on 4th derivatives.  The space/aeronautics
>industry is one.  I hadn't thought about it much, but I suppose the
>roller-coaster industry might be another.
>
>Do you have more info, perhaps a website, about "jounce" and it's relevance
>to roller coasters, aeronautics, etc.?

I only know of it from the Open University TV program (MST121: Using
Mathematics "Programme 03: Designer Rides - The Jerk and the Jounce")
first broadcast on 8 July 1997, most recently broadcast on 18 January
2000.

-- 
Mike Williams
Gentleman of Leisure


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