Three objects move along a straight line in the positive x-direction. Each object starts from rest at the origin at time \(t = 0\) and reaches a speed \(v_0\) at time \(t = T\). During the time interval \(0 \le t \le T\), the velocities of the three objects as functions of time are given by:

Object 1: \(v_1(t) = v_0 \left(\dfrac{t}{T}\right)\)

Object 2: \(v_2(t) = v_0 \left(\dfrac{t}{T}\right)^2\)

Object 3: \(v_3(t) = v_0 \left(\dfrac{t}{T}\right)^{1/2}\)

Which of the following correctly ranks the displacements \(\Delta x_1\), \(\Delta x_2\), and \(\Delta x_3\) of the objects from \(t = 0\) to \(t = T\)?