- #1
tectactoe
- 39
- 0
We all know that, assuming [tex]x(t) =[/tex] position as a function of time, then:
[tex]x'(t) = v(t) = velocity[/tex]
[tex]x''(t) = v'(t) = a(t) = acceleration[/tex]
[tex]x'''(t) = v''(t) = a'(t) = j(t) = jerk[/tex] (assuming j is the symbol for jerk).
But what does [tex]x''''(t) = j'(t)[/tex] come out to be? Is there a fourth derivative of position? And if so, is it ever practically used?
What about fifth, sixth, seventh, etc derivatives?
This is just something I've been extremely curious about since I learned of the third derivative, jerk (or jolt).
Thanks!
[tex]x'(t) = v(t) = velocity[/tex]
[tex]x''(t) = v'(t) = a(t) = acceleration[/tex]
[tex]x'''(t) = v''(t) = a'(t) = j(t) = jerk[/tex] (assuming j is the symbol for jerk).
But what does [tex]x''''(t) = j'(t)[/tex] come out to be? Is there a fourth derivative of position? And if so, is it ever practically used?
What about fifth, sixth, seventh, etc derivatives?
This is just something I've been extremely curious about since I learned of the third derivative, jerk (or jolt).
Thanks!