Two particles of masses M and 2M are moving with speeds of 10 m s$$^{-1}$$ and 5 m s$$^{-1}$$, as shown in the figure. They collide at the origin and after that they move along the indicated directions with speeds $$v_1$$ and $$v_2$$, respectively. The values of $$v_1$$ and $$v_2$$ are, nearly

A

6.5 m s$$^{-1}$$ and 3.2 m s$$^{-1}$$

B

3.2 m s$$^{-1}$$ and 12.6 m s$$^{-1}$$

C

13.02 m s$$^{-1}$$ and 19.7 m s$$^{-1}$$

D

3.2 m s$$^{-1}$$ and 6.3 m s$$^{-1}$$