Derive the equations giving the final speeds for two objects that collide elastically, with the mass of the objects being m$1$m$1$ and m$2$m$2$ and the initial speeds being v$1,$i$=$v$0$v$1,$i$=$v$0$ and v$2,$i$=0$v$2,$i$=0($i$.$e$.$ second object is initially stationary$).$

Answer the questions below. Answer in terms of m$1$m$1,$ m$2$m$2,$ and$/$or v$0$v$0.$ Use underscore $("\_")$ for subscripts.