Caliak sumber untuak Laju

{{Infobox physical quantity
|name = Laju
|image = [[Berkas:US Navy 040501-N-1336S-037 The U.S. Navy sponsored Chevy Monte Carlo NASCAR leads a pack into turn four at California Speedway.jpg|260px]]
|caption = Basobok tajadi parubahan arah katiko oto balap babelok di lintasan malongkuang, laju oto balap tasabuik indak konstan.
|symbols = {{math|''v''}}, {{math|'''v'''}}
|otherunits = [[Mil par jam|mph]], [[Kaki par datiak|ft/s]]
|baseunits = [[meter|m]]/[[datiak|s]]
|dimension = '''L''' '''T'''<sup>−1</sup>
}}
{{Mekanika klasik|cTopic=dasar}}
'''Laju''' marupoàn [[basaran turunan]] nan diturunkan dari basaran pokok [[panjang]] dan wakatu, dimano rumus [[Laju#Pautan lua|laju atau kacapatan]] iyolah [[jarak]] dibagi [[wakatu]].<ref>{{Cite book|last=Ponto|first=Hantje|date=2018|url=http://repository.unima.ac.id:8080/jspui/bitstream/123456789/621/1/FT%20PONTO%20KI%201%20BUKU%20REFERENSI%20Dasar%20Teknik%20Listrik.pdf|title=Dasar Teknik Listrik|location=Yogyakarta|publisher=DEEPUBLISH|isbn=978-623-7022-93-0|pages=|url-status=live|access-date=2022-07-27|archive-date=2021-01-29|archive-url=https://web.archive.org/web/20210129104258/http://repository.unima.ac.id:8080/jspui/bitstream/123456789/621/1/FT%20PONTO%20KI%201%20BUKU%20REFERENSI%20Dasar%20Teknik%20Listrik.pdf|dead-url=yes}}</ref> Laju basaran [[vektor]] nan manunjuakkan sabarapo copek bando [[parpindahan|bapindah]]. Bosegh dari vektor iko disabuik dangan [[kalajuan]] dan dinyatoàn dalam [[satuan]] meter par [[datiak|sekon]] (m/s atau ms<sup>−1</sup>).

Laju biaso paguno untuak marujuak pado laju sasaàt nan didefinisikan sacaro [[matematika|matematis]] sabagai:
:<math>\vec{v}(t) = \lim_{\Delta t \to 0} \frac{{\vec{r}(t+\Delta t)-\vec{r}(t)}}{\Delta t}=\frac{d\vec{r}}{dt}</math>

di mano <math>\vec{v}(t)</math> iyolah laju sasaàt pado wakatu <math>t</math> dan <math>\vec{r}(t)</math> iyolah fungsi [[parpindahan]] tahadok wakatu.

Salain laju sasaàt, dikana juo boseghan laju rato-rato <math>\bar{\mathbf{v}}</math> nan didefinisikan pado rontang wakatu <math>\Delta t\,</math> nan indak mandokekì nol.
:<math>\bar{{v}}=\frac{\Delta{r}}{\Delta t}</math>

Laju ditulih pado bantuak vektor untuak dimensi duo dan ka-ateh, untuak laju pado dimensi 1, umumnyo laju hanyo ditulih <math>v_x</math>.

Panulisan vektor laju:

<math>\vec{v}(t)= v_x(t)\textbf{i}+ v_y(t)\textbf{j} + v_z(t)\textbf{k}</math> untuak dimensi tigo.

Bosegh dari vektor laju iyolah kalajuan dan indak ajak malaju, kalajuan indak punyo arah dan hanyo punyo bosegh tak negatif.

<math>\lVert \vec{v}(t) \rVert = \sqrt{v_x^2(t)+v_y^2(t)+v_z^2(t)}</math>

==Rujuakan==
{{Reflist}}

==Pautan lua==
{{Wiktionary|laju}}
{{wikiquote}}
*{{Commons category-inline|Velocity|Laju}}
* Richard Feynman|Richard P. Feynman, Robert B. Leighton, Matthew Sands. The Feynman Lectures on Physics, Volume I, [https://feynmanlectures.caltech.edu/I_08.html#Ch8-S2 Section 8–2]. Addison-Wesley, Reading, Massachusetts (1963). {{ISBN|0-201-02116-1}}.

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