Source / pinned edition
Relativistic Velocity Transformation
Source of package openstax.relativity · OpenStax University Physics, ch. 5 Relativity, module m58569
- work
- urn:openstax:clir:relativity#M58569
- number
- OpenStax University Physics, ch. 5 Relativity, module m58569
- kind
- urn:openstax:clir:relativity#treatise
m58569/index.cnxml at commit d0ed34a (main, 2026-06-11)
- edition
- urn:openstax:clir:relativity#M58569_MAIN
- language
- en
- officiality
- official
- materialisation
- PINNED_OFFICIAL_BYTES
- life cycle
- adopted: 2026-06-11
Publications
| URI | Type | documentHash | Retrieved |
|---|---|---|---|
| https://raw.githubusercontent.com/openstax/osbooks-university-physics-bundle/d0ed34a5851119a42e3d972dfc0ff49e4663977c/modules/m58569/index.cnxml | application/xml; charset=utf-8 | sha256:ffcd0a54784d80624616e6c8838faa7056589178626e4cacca2186f0de8eac02 | 2026-09-06T00:00:00Z |
Fragments — 3
module/m58569#fs-id1167793938539 · defn
en · official · sha256:95e5967cb4b880b26cd4a947d2a0d3d966b9ac4ecfb75a0005804449d79d47b0
<definition id="fs-id1167793938539">
<term>classical (Galilean) velocity addition</term>
<meaning id="fs-id1167794142090">method of adding velocities when <m:math><m:mrow><m:mi>v</m:mi><m:mtext><</m:mtext><m:mtext><</m:mtext><m:mi>c</m:mi><m:mo>;</m:mo></m:mrow></m:math> velocities add like regular numbers in one-dimensional motion: <m:math><m:mrow><m:mi>u</m:mi><m:mo>=</m:mo><m:mi>v</m:mi><m:mo>+</m:mo><m:mi>u</m:mi><m:mo>′</m:mo><m:mo>,</m:mo></m:mrow></m:math> where <emphasis effect="italics">v</emphasis> is the velocity between two observers, <emphasis effect="italics">u</emphasis> is the velocity of an object relative to one observer, and <m:math><m:mi>u</m:mi><m:mo>′</m:mo></m:math> is the velocity relative to the other observer</meaning>
</definition>module/m58569#fs-id1167793896607 · section
en · official · sha256:04309fe126f98fc11d38c630694f50e78fab13dba201822a44bfba60aeb61f70
<para id="fs-id1167793896607">Velocities cannot add to greater than the speed of light, provided that <emphasis effect="italics">v</emphasis> is less than <emphasis effect="italics">c</emphasis> and <m:math><m:mi>u</m:mi><m:mo>′</m:mo></m:math> does not exceed <emphasis effect="italics">c</emphasis>. The following example illustrates that relativistic velocity addition is not as symmetric as classical velocity addition.</para>module/m58569#fs-id1167793583897 · defn · referenced by: 4
en · official · sha256:c2066f7066f75d9c0b17d11b160dab7a72e200be1dec4006cfdb9aa863c2f6be
<definition id="fs-id1167793583897">
<term>relativistic velocity addition</term>
<meaning id="fs-id1167794293139">method of adding velocities of an object moving at a relativistic speeds</meaning>
</definition>Referencing norms: ComposedSpeedRatioOfC, RelativisticVelocityAddition, speeds_to_compose, velocity_in_the_moving_frame
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