Home/Basic Physics/1D Kinematics/Instantaneous acceleration2. 1D KinematicsInstantaneous accelerationIn 2. 1D KinematicsFormulaCopy LaTeXa=dvdt=d2xdt2a=\frac{dv}{dt}=\frac{d^2x}{dt^2}a=dtdv=dt2d2xTagskinematicskinematics 1DDerivativephysicsphysics formulaDetailDerivative of velocity with respect to time, equivalent to the second derivative of position.Explore the ideaExplore the ideaFound an error? Contact us.Related formulasRelatedInstantaneous velocityv=dxdtv=\frac{dx}{dt}v=dtdxOpen formulaOpen in sectionRelatedPosition from variable velocityx(t)=x(t0)+∫t0tv(τ) dτx(t)=x(t_0)+\int_{t_0}^{t}v(\tau)\,d\taux(t)=x(t0)+∫t0tv(τ)dτOpen formulaOpen in section