Consider a head$-$on elastic collision between two objects. Object $1,$ which has mass $m_1,$ is initially in motion, and collides head$-$on with object $2,$ which has mass $m_2,$ and is initially at rest. Which of the following statements about the collision are true?

If $m_2{m}_1,$ then the final speed of object $1$ is greater than the final speed of object

$2.$

If $m_2{m}_1,$ then $|vec(p{)}_1|>|vec(p{)}_2|$

If $m_1{m}_2,$ then the final speed of object $2$ is less than the initial speed of object $1.$

vec$(p{)}_{1,\text{i}\text{n}\text{i}\text{t}\text{i}\text{a}\text{l}}=$vec$(p{)}_{1,\text{f}\text{i}\text{n}\text{a}\text{l}}+$vec$(p{)}_{2,\text{f}\text{i}\text{n}\text{a}\text{l}}$