An object moves along the x-axis with a time-dependent acceleration given by \(a(t) = a_0 - C t\), where \(a_0\) and \(C\) are positive constants. At time \(t = 0\), the object is located at \(x = 0\) with an initial velocity of \(v_0 = 0\). Which of the following expressions represents the displacement of the object from \(t = 0\) until the instant it momentarily comes to rest?