An object moves along the \(x\)-axis such that its position as a function of time \(t\) is given by \(x(t) = v_0 t e^{-\beta t}\), where \(v_0\) and \(\beta\) are positive constants. Consider the speeds \(s_1\), \(s_2\), \(s_3\), and \(s_4\) of the object at times \(t_1 = 0\), \(t_2 = \dfrac{1}{\beta}\), \(t_3 = \dfrac{2}{\beta}\), and \(t_4 = \dfrac{3}{\beta}\), respectively. Which of the following correctly ranks the speeds of the object from greatest to least?