a v x const a

  • Acceleration a(t)=an,    tn<t<tn+1.(C1)\tag{C1} a(t) = a_n, \ \ \ \ t_n < t < t_{n+1}.
  • Velocity v(t)=vn+an(ttn),    tnttn+1.(C2)\tag{C2} v(t) = v_n + a_n(t - t_n), \ \ \ \ t_n \le t \le t_{n+1}.
  • Posisition x(t)=xn+vn(ttn)+12an(ttn)2,    tnttn+1.(C3)\tag{C3} x(t) = x_n + v_n(t - t_n) + \tfrac12 a_n(t - t_n)^2, \ \ \ \ t_n \le t \le t_{n+1}.