$1$: An elastic collision occurs between two billiard balls in one dimension. A standard billiard ball of mass $160$ grams sits stationary with velocity. A heavy cue ball of mss $220$ grams impacts the billiard ball with velocity $.$

$1$a: Is kinetic energy conserved in the collision? Why or why not?

$1$b: Is momentum conserved in the collision? Why or why not?

$1$c: Write a system of $2$ equations and $2$ unknowns