Two particles, of masses M and 2M, moving, as shown, with speeds of 10 m / s and 5 m/s, collide elastically at the origin. After the collision, they…

Two particles, of masses M and 2M, moving, as shown, with speeds of $\displaystyle 10 \mathrm{~m} / \mathrm{s}$ and $\displaystyle 5$ m/s, collide elastically at the origin. After the collision, they move along the indicated directions with speeds $\displaystyle v_1$ and $\displaystyle v_2$, respectively. The values of $\displaystyle v_1$ and $\displaystyle v_2$ are nearly :