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I am trying to find the constant jerk analog to the extremely useful constant acceleration equation

a=v^2/2s 
or 
v^2-v1^2=2a(s-s1)

It has no term for time, which is useful if you are looking for other parameters.

So far I have derived the simple equations for the changes in acceleration, velocity, and displacement:

a1=a+jt
a1^2-a^2=2j(v-v1)
v1=v+1/2(a+a1)t
v1=v+at+1/2jt^2
s1=s+vt+1/2at^2+1/6jt^3

Any help to provide the equation to find the constant jerk equation without time is greatly appreciated. Cheers!

Jas
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