For example, consider a path along an arc of radius r, which tangentially connects to a straight line. The whole path is continuous, and its pieces are smooth. Now assume a point particle moves with constant speed along this path, so its tangential acceleration is zero. The centripetal acceleration given by ⁠ v / r ⁠ is normal to the arc and inward. When the particle passes the connection of pieces, it experiences a jump-discontinuity in acceleration given by ⁠ v / r ⁠, and it undergoes a jerk that can be modeled by a Dirac delta, scaled to the jump-discontinuity.