Two identical small spheres, Sphere 1 and Sphere 2, roll horizontally off the edge of a flat table of height \(H\) above a level floor at the same instant. Sphere 1 leaves the table with horizontal speed \(v_0\), and Sphere 2 leaves the table with horizontal speed \(2v_0\). Neglecting air resistance, what are the ratio of their times of flight, \(\dfrac{t_2}{t_1}\), and the ratio of their horizontal distances traveled while in the air, \(\dfrac{\Delta x_2}{\Delta x_1}\)?