A $25$ g bullet moving with an initial speed of $V{i}_i=350\frac{m}{s}$ is fired into and pas through a $1\mathrm{.}00-kg$ block, as in Figure The block, initially at rest on a frictionless, horizontal surface, is connected to a spring with force constant $500\frac{N}{m}.$ If the block moves $6$ cm to the right after impact, find the speed, $1$ at which the bullet emerges from the block

A$)158\frac{m}{s}$

B$)296\frac{m}{s}$

C$)209\frac{m}{s}$

D$)300\frac{m}{s}$

E$)22\frac{m}{s}$