A $50-$kg pitching machine $($excluding the baseball$)$ is placed on a frozen pond. The machine fires a $0\mathrm{.}40-$kg baseball with a speed of $35$ m$/$s in the horizontal direction. What is the recoil speed of the pitching machine? $($Assume negligible friction.$)$

Question $16$Select one:

a$.$

$0\mathrm{.}28$ m$/$s

b$.$

$0\mathrm{.}14$ m$/$s

c$.$

$4\mathrm{.}410^3$ m$/$s

d$.$

$0\mathrm{.}70$ m$/$s