Two objects are moving towards each other with velocities vec$(V{)}_1$ and vec$(V{)}_2$ on a frictionless surface. They collide completely inelastically and move together after the collision with a velocity $|vec(V{)}_3|=17,2\frac{m}{s}$ as shown below.If the ratio of the masses is $\frac{m_1}{m_2}=1,69$ and the angles are ${}_1=38$ and ${}_2=52,$ what is the magnitude of vec$(V{)}_1$ in units of $\frac{m}{s}?$ Express your answer using one decimal place.