Home/Basic Physics/1D Kinematics/Instantaneous velocity2. 1D KinematicsInstantaneous velocityIn 2. 1D KinematicsFormulaCopy LaTeXv=dxdtv=\frac{dx}{dt}v=dtdxTagskinematicskinematics 1DDerivativephysicsphysics formulaDetailDerivative of position with respect to time.Explore the ideaExplore the ideaFound an error? Contact us.Related formulasRelatedInstantaneous accelerationa=dvdt=d2xdt2a=\frac{dv}{dt}=\frac{d^2x}{dt^2}a=dtdv=dt2d2xOpen 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