Why do we not consider rate of change of acceleration in the study of linear motion?
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1https://en.wikipedia.org/wiki/Jerk_(physics) – Solidification Nov 06 '20 at 11:37
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Possible duplicates: https://physics.stackexchange.com/q/136880/2451 and links therein. – Qmechanic Nov 06 '20 at 14:21
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Sometimes we do need to consider the rate of change of acceleration - sufficiently often for it to have been given a name. The rate of change of acceleration is called jerk. Limiting the magnitude of jerk is an important consideration in the real world design of railway tracks, elevators and roller coasters.
The initial kinematics problems that you encounter in a physics course tend to focus on motion with constant acceleration for the sake of simplicity, so as not to confuse the student with too many new concepts at once.
gandalf61
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I assume it stops there, that the rate of change of jerk is of no interest. – Not_Einstein Nov 06 '20 at 15:41
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@Not_Einstein Take a look at https://en.wikipedia.org/wiki/Fourth,_fifth,_and_sixth_derivatives_of_position – gandalf61 Nov 06 '20 at 17:52
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That's funny. I thought I was being a bit frivolous by even asking. – Not_Einstein Nov 06 '20 at 18:14