A pipe A is connected with other pipes B and C as shown in the figure. The areas of cross-section of A, B and C are respectively \( \alpha \), \( \frac{\alpha}{2} \) and \( \frac{\alpha}{4} \). If the velocities of flow of water through A and B are 10 m/sec and 6 m/sec, respectively, then velocity of flow, \( V_c \) along C is