Question $3$

$35$ pts

A $3\mathrm{.}1-kg(m1)$ object traveling at $5\mathrm{.}4\frac{m}{s}$ collides head$-$on with a $4\mathrm{.}3-kg(m2)$ object traveling in the opposite direction at $4\mathrm{.}1\frac{m}{s}.$ The collision is perfectly elastic.

a$)$ what is the final velocity of m $1?$

b$)$ What is final velocity of $m2?$

c$)$ What is the total kinetic energy after the collision?