a v x const a

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