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Beyond velocity and acceleration : Jerk, snap and higher derivatives

Eager, David; Pendrill, Ann Marie LU and Reistad, Nina LU (2016) In European Journal of Physics 37(6).
Abstract

The higher derivatives of motion are rarely discussed in the teaching of classical mechanics of rigid bodies; nevertheless, we experience the effect not only of acceleration, but also of jerk and snap. In this paper we will discuss the third and higher order derivatives of displacement with respect to time, using the trampolines and theme park roller coasters to illustrate this concept. We will also discuss the effects on the human body of different types of acceleration, jerk, snap and higher derivatives, and how they can be used in physics education to further enhance the learning and thus the understanding of classical mechanics concepts.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
acceleration, jerk, jounce, multi-resonant vibration, roller coaster, trampoline
categories
Higher Education
in
European Journal of Physics
volume
37
issue
6
publisher
IOP Publishing
external identifiers
  • scopus:84994493190
  • wos:000386367300002
ISSN
0143-0807
DOI
10.1088/0143-0807/37/6/065008
language
English
LU publication?
yes
id
398383fb-8a7d-491f-9dea-036c7f47f9f0
date added to LUP
2016-12-07 10:46:21
date last changed
2017-11-05 05:10:40
@article{398383fb-8a7d-491f-9dea-036c7f47f9f0,
  abstract     = {<p>The higher derivatives of motion are rarely discussed in the teaching of classical mechanics of rigid bodies; nevertheless, we experience the effect not only of acceleration, but also of jerk and snap. In this paper we will discuss the third and higher order derivatives of displacement with respect to time, using the trampolines and theme park roller coasters to illustrate this concept. We will also discuss the effects on the human body of different types of acceleration, jerk, snap and higher derivatives, and how they can be used in physics education to further enhance the learning and thus the understanding of classical mechanics concepts.</p>},
  articleno    = {065008},
  author       = {Eager, David and Pendrill, Ann Marie and Reistad, Nina},
  issn         = {0143-0807},
  keyword      = {acceleration,jerk,jounce,multi-resonant vibration,roller coaster,trampoline},
  language     = {eng},
  month        = {10},
  number       = {6},
  publisher    = {IOP Publishing},
  series       = {European Journal of Physics},
  title        = {Beyond velocity and acceleration : Jerk, snap and higher derivatives},
  url          = {http://dx.doi.org/10.1088/0143-0807/37/6/065008},
  volume       = {37},
  year         = {2016},
}