Two spheres have masses M M $($sphere $1)$ and $3\mathrm{.}00$M $($sphere $2).$ Let their radii be R and $4\mathrm{.}00$R$,$ respectively. The spheres are released from rest when the distance between their centers is $14\mathrm{.}0$R$.$

a$)$ How fast will sphere $1$ be moving when they collide? Assume that the two spheres interact only with each other. Enter your answer in units of square root GM$/$R $.$

b$)$ How fast will sphere $2$ be moving when they collide? Enter your answer in units of square root GM$/$R $.$