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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/398383fb-8a7d-491f-9dea-036c7f47f9f0
- author
- Eager, David
; Pendrill, Ann Marie
LU
and Reistad, Nina
LU
- organization
- publishing date
- 2016-10-13
- 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
- article number
- 065008
- 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
- 2024-06-01 21:27:43
@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>}},
author = {{Eager, David and Pendrill, Ann Marie and Reistad, Nina}},
issn = {{0143-0807}},
keywords = {{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}},
doi = {{10.1088/0143-0807/37/6/065008}},
volume = {{37}},
year = {{2016}},
}