An eagle $($mass $m_1=4\mathrm{.}3kg)$ has an initial velocity of:

vec$(v{)}_{1i}=7\mathrm{.}8$hat$()\frac{m}{s}$

It strikes a $2^{nd}$ eagle $($mass $m_2=5\mathrm{.}6kg)$ that initially is traveling at

vec$(v{)}_{2i}=10\mathrm{.}2$hat$()\frac{m}{s}$

They collide and hold onto each other. Find the speed $v_F$ and angle ${}_F($relative CCW from the $+$ axis$)$ that they are traveling immediately after this collision