kinematics, integrate constant a

  • With initial condition v(t0)=v0v(t_0) = v_0, velocity becomes v(t)=v0+a(t−t0).(G1)\tag{G1} v(t) = v_0 + a(t - t_0).
  • With initial condition x(t0)=x0x(t_0) = x_0, position becomes x(t)=x0+v0(t−t0)+12a(t−t0)2.(G2)\tag{G2} x(t) = x_0 + v_0 (t - t_0) + \tfrac12 a (t - t_0)^2.
  • Are they the same as the first two of common kinematic equations?