A particle of mass \(m\) is initially at rest at the origin \((x,y) = (0,0)\) at time \(t = 0\). The particle is acted upon by a time-dependent net force \(\vec{F}(t) = Ct\,\hat{i} + Dt^2\,\hat{j}\), where \(C\) and \(D\) are positive constants. Which of the following expressions represents the particle's trajectory \(y(x)\) for \(x \ge 0\)?