Let u_1, u_2, u_3 and U_4 be velocities at time t = 0, t_1, (t_1 + t_2) and \(\left(t_{1} + t_{2} + t_{3}\right)\) respectively and acceleration is a then \(\mathbf{v}_1 = \frac{\mathbf{u}_1 + \mathbf{u}_2}{2}, \mathbf{v}_2 = \frac{\mathbf{u}_2 + \mathbf{u}_3}{2} \text{ and } \mathbf{v}_3 = \frac{\mathbf{u}_3 + \mathbf{u}_4}{2}\)

Also \(\mathbf{u}_2 = \mathbf{u}_1 + a t_1, \mathbf{u}_3 = \mathbf{u}_1 + a (t_1 + t_2)\)

and u_{4} = u_{1} + a(t_{1} + t_{2} + t_{3})

By solving, we get \(\frac{V_1 - V_2}{V_2 - V_3} = \frac{t_1 + t_2}{t_2 + t_3}\)