int a to v const a

  • Constant acceleration a(t)=an,    tn<t<tn+1.(A1)\tag{A1} a(t) = a_n, \ \ \ \ t_n < t < t_{n+1}.
  • Initial condition v(tn)=vn.(A2)\tag{A2} v(t_n) = v_n.
  • Velocity v(t)=vn+an(ttn),    tnttn+1.(A3)\tag{A3} v(t) = v_n + a_n(t - t_n), \ \ \ \ t_n \le t \le t_{n+1}.