Mechanics of particles and systems Kinematics Concept
Velocity
Builds on DerivativeEuclidean vector
Summary
The velocity of a moving point is the rate of change of its position with respect to time. It is a vector: it has a direction, the direction of motion, and a size, the speed. Mathematically, it is the derivative of the position as a function of time. Velocity is the first notion of kinematics, and acceleration and momentum are built from it.
Reading path
To understand this page from the ground up, read these 3 pages in order. The foundations come first.
Show the path as a graph
- no evidence level
- Derivative concept
- Euclidean vector concept
- Velocity concept
Where this leads
207 pages build on this one.
- Inelastic collision
- Emden–Chandrasekhar equation
- Newton's law of universal gravitation
- Angular velocity
- Plate reconstruction
- Sundman's convergent series for the three-body problem
- Momentum
- Physical oceanography
- Chandrasekhar's white dwarf equation
- Jeans's theorem
- Routhian mechanics
- Coefficient of restitution
- Dedekind ellipsoid
- Hydrostatic equilibrium
- Kinetic energy
- Tidal force
- Relativistic angular momentum
- Molecular dynamics
- Magnetic braking
- Coriolis force
- Euler pole of plate motion
- Virial theorem
- Tests of general relativity
- Milankovitch cycles
- Angular momentum
- Stellar structure
- Thermal wind
- Modified Newtonian dynamics
- Kelvin–Helmholtz mechanism
- Atmospheric dynamics
- Hohmann transfer orbit
- Angular acceleration
- Central configuration
- Lense–Thirring precession
- Schwarzschild criterion for convection
- Virial mass
- von Zeipel theorem
- Norton's dome
- Jacobi integral
- Angular acceleration
- Laplace–Runge–Lenz vector
- Galaxy rotation curve
- Jacobi metric
- Celestial mechanics
- Weak gravitational lensing
- Kepler's equation
- Bi-elliptic transfer
- Kinematics
- Hertz's principle of least curvature
- Ekman spiral
- Planetary migration
- Mass–luminosity relation
- Central force
- Accretion disk
- Conservation of energy
- Tennis racket theorem
- Poynting–Robertson effect
- Einstein–Infeld–Hoffmann equations
- Lagrange's equations of motion
- Lens equation
- Lagrange top
- Kinetic energy
- Inelastic collision
- Taylor's constraint
- Earth's rotation
- Two-body problem
- Ledoux criterion
- Impulse
- Orbital mechanics
- Bonnor–Ebert mass
- Rotating reference frame
- Tolman–Oppenheimer–Volkoff limit
- Post-Newtonian expansion
- Cyclic coordinate
- Adams–Williamson equation
- Kovalevskaya top
- Tisserand's parameter
- Jerk
- Polytrope
- Angular momentum
- Projectile motion
- Gravitational microlensing
- Plummer model
- Painlevé paradox
- Tsiolkovsky rocket equation
- Hayashi track
- Euler top
- Stellar pulsation
- Euler's three-body problem
- Figure-eight solution of the three-body problem
- Epicyclic frequency
- Singular isothermal sphere
- Conservation of angular momentum
- Parker solar wind model
- Hadley cell and Held–Hou model
- Lindblad resonance
- Impulse
- Elsasser number
- Momentum
- Rotating reference frame
- Clohessy–Wiltshire equations
- Inverse problem for Lagrangian mechanics
- Escape velocity
- Lagrange–Dirichlet stability theorem
- Chandrasekhar limit
- Hamilton's principal function
- Tidal acceleration
- Gravitational deflection of light
- Binet equation
- Fictitious force
- Maclaurin spheroid
- Coefficient of restitution
- Chaplygin sleigh
- Jacobi integral
- Newton's laws of motion
- Goryachev–Chaplygin top
- Kepler's laws of planetary motion
- Dynamical friction
- Mixing length theory
- Kepler's equation
- Modal analysis
- Lagrangian mechanics
- Kepler orbit
- Foucault pendulum
- Euler force
- Elastic collision
- Binet equation
- Hill sphere
- Spherical astronomy
- Euler's equations of rigid body motion
- Lagrange multipliers for constraints
- Roche limit
- Coriolis force
- Polhode
- Nonholonomic system
- Stommel's model of western intensification
- Angular momentum operator
- Acceleration
- Baroclinic instability
- Mechanical similarity
- Precession
- Rayleigh's principle for natural frequencies
- Schönberg–Chandrasekhar limit
- Geopotential
- N-body simulation
- Celestial mechanics
- Vogt–Russell theorem
- Eddington luminosity
- Instant centre of rotation
- Appell's equation of motion
- Oort constants
- Hill sphere
- Length of day variations
- Elastic collision
- Barnes–Hut simulation
- Vis-viva equation
- Euler's laws of motion
- Poinsot's ellipsoid
- Work–energy theorem
- Stellar dynamics
- Rigid body dynamics
- Kinematics
- Conservation of momentum
- Variable-mass system
- Parker instability
- Cauchy momentum equation
- Bertrand's theorem
- Central force
- F-plane
- Einstein radius
- Udwadia–Kalaba equation
- Sitnikov problem
- Rolling without slipping
- Separation of variables in the Hamilton–Jacobi equation
- Acceleration
- Sverdrup balance
- Mechanical similarity
- Tidal locking
- Free-fall time
- Jacobi ellipsoid
- Lagrange points
- Two-body relaxation time
- Small oscillations about equilibrium
- Munk's wind-driven circulation model
- Parker spiral
- Normal mode
- Centrifugal force
- Atwood machine
- Rayleigh dissipation function
- Beta plane
- Newtonian limit
- Strong gravitational lensing
- Laplace–Runge–Lenz vector
- Reduced mass
- Einstein ring
- Cauchy's stress theorem
- Circular restricted three-body problem
- Nonholonomic system
- Newton's theorem of revolving orbits
- Jerk
- Gradient wind
- Euler free nutation
- Bullen parameter
- Goldreich–Tremaine theory of disk–satellite interaction
- Roche lobe
- Laplace tidal equations
- Fictitious force
Further reading
About this page
| Tag | K160D2Z0CS |
|---|---|
| URI | m2://K160D2Z0CS |
| Kind | concept |
| Writing | W0 stub |
| MSC | 70B05 |
| Uses | Derivative, Euclidean vector |
| Same as | |
| Changed | 3 November 2026 |
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Used by
- Angular velocity
- Momentum
- Kinetic energy
- Coriolis force
- Kinematics
- Kinetic energy
- Momentum
- Coriolis force
- Nonholonomic system
- Acceleration
- Instant centre of rotation
- Kinematics
- Rolling without slipping
- Acceleration
- Nonholonomic system