$8\mathrm{.}50C.$ Both particles are constrained to move only along the $x$ axis.

$($a$)$ At the instant of closest approach, both particles will be moving at the same velocity. Find this velocity.

vec$(v{)}_c=,i\frac{m}{s}.$

$($b$)$ Find the distance of closest approach.

$r_c=m$

After the interaction, the particles will move far apart again. At this time, find the velocity of the following.

$($c$)$ the $1\mathrm{.}95-g$ particle

vec$(v{)}_{1f}=,$hat$(i)\frac{m}{s}$

$($d$)$ the $4\mathrm{.}80-g$ particle

vec$(v{)}_{2f}=\frac{m}{s}$