Beyond velocity and acceleration: Jerk, snap and higher derivatives

Eager, D; Pendrill, AM; Reistad, N

Beyond velocity and acceleration: Jerk, snap and higher derivatives

Eager, D

Pendrill, AM Reistad, N

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Publication Type:: Journal Article
Citation:: European Journal of Physics, 2016, 37 (6)
Issue Date:: 2016-10-13

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Field	Value	Language
dc.contributor.author	Eager, D https://orcid.org/0000-0003-1926-7867	en_US
dc.contributor.author	Pendrill, AM	en_US
dc.contributor.author	Reistad, N	en_US
dc.date.available	2016-09-21	en_US
dc.date.issued	2016-10-13	en_US
dc.identifier.citation	European Journal of Physics, 2016, 37 (6)	en_US
dc.identifier.issn	0143-0807	en_US
dc.identifier.uri	http://hdl.handle.net/10453/56556
dc.description.abstract	© 2016 IOP Publishing Ltd. 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.	en_US
dc.relation.ispartof	European Journal of Physics	en_US
dc.relation.isbasedon	10.1088/0143-0807/37/6/065008	en_US
dc.subject.classification	General Physics	en_US
dc.title	Beyond velocity and acceleration: Jerk, snap and higher derivatives	en_US
dc.type	Journal Article
utslib.citation.volume	6	en_US
utslib.citation.volume	37	en_US
utslib.for	0203 Classical Physics	en_US
utslib.for	0204 Condensed Matter Physics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/e-Press
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	open_access
pubs.issue	6	en_US
pubs.publication-status	Published	en_US
pubs.volume	37	en_US

Abstract:

© 2016 IOP Publishing Ltd. 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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http://hdl.handle.net/10453/56556