Subjects/Basic Physics/1D Kinematics/Velocity from variable acceleration2. 1D KinematicsVelocity from variable accelerationIn 2. 1D KinematicsFormulaCopy LaTeXv(t)=v(t0)+∫t0ta(τ)dτRelated formulasRelatedInstantaneous velocityv=dtdxOpen formulaOpen in sectionRelatedInstantaneous accelerationa=dtdv=dt2d2xOpen formulaOpen in sectionRelatedPosition from variable velocityx(t)=x(t0)+∫t0tv(τ)dτOpen formulaOpen in section