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Kinematics

Kinematics is the branch of classical mechanics that deals with pure motion of points, bodies (objects) and systems of bodies (groups of objects) without consideration of the causes of motion.  Kinematics is aptly referred to as the "geometry of motion."

To describe motion, kinematics studies the trajectories of points, lines and other geometric objects and their differential properties such as velocity and acceleration. In addition, Kinematics is used in astrophysics to describe the motion of celestial bodies and systems, and in mechanical engineering, robotics and biomechanics to describe the motion of systems composed of joined parts (multi-link systems) such as an engine, a robotic arm or the skeleton of the human body.

vCalc's Kinematics folder contains equations to compute the motion of objects and systems of objects. 

Parent Categories:

Kinematics Calculators

Kinematics Collections

Kinematics Equations

  • `-h=1/2(-g)Deltat^2` by vCalc
  • `Deltat = sqrt((2h)/g)` by vCalc
  • `Deltax = x_0 + v_0 t + 1/2 a t^2` by vCalc
  • `Deltay = 1/2 a_y Deltat^2` by vCalc
  • `R = ((2v^2)/g) sin(theta) cos(theta)` by vCalc
  • `theta = tan^(-1)((Deltay)/(Deltax))` by vCalc
  • `v = (Delta r)/(Delta t)` by vCalc
  • `v_x = (Deltax)/(Deltat)` by vCalc
  • `v_x = w*sqrt(g/(2h))` by vCalc
  • `v_x = w/(Deltat)` by vCalc
  • `v_x = w/sqrt((2h)/g)` by vCalc
  • `v_x= v cos(theta)` by vCalc
  • `v_y = v sin(theta)` by vCalc
  • `x = v_x*t` by vCalc
  • `y = 1/2 a_y(x/v_x)^2` by vCalc
  • `|FA| = mgsin(theta)` by vCalc
  • `|FA|=|FW|sintheta` by vCalc
  • Acceleration (V2-V1/delta t) by vCalc
  • Acceleration - Two Observation Mean by vCalc
  • Acceleration [`Deltav, Deltat`] by vCalc
  • Adiabatic Index by vCalc
  • Average Circular Velocity by vCalc
  • Average Speed by vCalc
  • Ballistic Initial Vertical Velocity Component by vCalc
  • Ballistic Projectile Displacement - x(`v_0`,t,`theta`) by vCalc
  • Ballistic Projectile Displacement - y(t,`theta`, `v_0`) by vCalc
  • Ballistic Range (Earth gravity) by vCalc
  • Ballistic Velocity to Achieve Height by vCalc
  • Ballistic X Position by vCalc
  • Ballistic X Velocity by vCalc
  • Ballistic Y Position by vCalc
  • Ballistic Y Velocity by vCalc
  • Change in Mass by vCalc
  • Change in Velocity by vCalc
  • Constant Acceleration by vCalc
  • Cylinder (solid) - Radius of Gyration about x-axis by vCalc
  • delta t = f(arc,v) by vCalc
  • Delta t = theta* r / |v| by vCalc
  • Delta V by vCalc
  • Distance (Velocity, Time) by vCalc
  • Distance - constant acceleration by vCalc
  • Distance - constant velocity by vCalc
  • Distance - initial velocity and constant acceleration by vCalc
  • Distance Traveled by vCalc
  • Distance-Time-Velocity by vCalc
  • Duration of Force to Achieve Velocity by vCalc
  • Escape Velocity by vCalc
  • Final Velocity - f(a,dx) by vCalc
  • Force - Addition by vCalc
  • Free Fall (distance) by vCalc
  • Free Fall (time) by vCalc
  • Horizontal Velocity Component (ballistic) by vCalc
  • Initial Velocity by vCalc
  • Kinetic Energy by vCalc
  • Kinetic Energy [m,v] by vCalc
  • lever (downward force) by vCalc
  • Magnitude of Acceleration by vCalc
  • Magnitude of Position by vCalc
  • Magnitude of Velocity by vCalc
  • Mean Velocity by vCalc
  • Power [Force,Distance,Time] by vCalc
  • Projectile Motion - Vertical Displacement by vCalc
  • Restoring Torque on Physical Pendulum by vCalc
  • Sum of Masses by vCalc
  • Time [Distance, Velocity] by vCalc
  • Time from Distance and Acceleration by vCalc
  • Time of Motion by vCalc
  • Total Torque by vCalc
  • VBLx by vCalc
  • Velocity (constant ac