Home/Basic Physics/1D Kinematics/Position from variable velocity2. 1D KinematicsPosition from variable velocityIn 2. 1D KinematicsFormulaCopy LaTeXx(t)=x(t0)+∫t0tv(τ) dτx(t)=x(t_0)+\int_{t_0}^{t}v(\tau)\,d\taux(t)=x(t0)+∫t0tv(τ)dτTagskinematicskinematics 1Dphysicsphysics formulaDetailPosition is obtained by integrating the velocity from an initial instant.Explore the ideaExplore the ideaFound an error? Contact us.Related formulasRelatedInstantaneous velocityv=dxdtv=\frac{dx}{dt}v=dtdxOpen formulaOpen in sectionRelatedVelocity from variable accelerationv(t)=v(t0)+∫t0ta(τ) dτv(t)=v(t_0)+\int_{t_0}^{t}a(\tau)\,d\tauv(t)=v(t0)+∫t0ta(τ)dτOpen formulaOpen in section