A block of mass \(m\) is projected with initial speed \(v_0\) across a horizontal surface at time \(t = 0\) and position \(x = 0\). The only horizontal force acting on the block is a fluid resistive force of magnitude \(F_{\text{drag}} = kv^n\), where \(k\) is a positive constant and \(n\) is a positive integer. Which of the following statements correctly characterizes the limiting behavior of the block's motion as \(t \to \infty\) for linear drag (\(n = 1\)) compared to quadratic drag (\(n = 2\))?