Perfectly Inelastic Collision#

Particles of mass $$m$$ and $$2m$$ have velocities $$v_1=$$ 3$$v\hat{x}$$ and $$v_2=$$ 2$$v\hat{y}$$ respectively.

Part 1#

After undergoing a perfectly inelastic collision as shown in the figure, what velocity, $$v_f$$, does the resulting particle have? Enter the magnitude of $$v_f$$.

Please enter in a numeric value.

Part 2#

What angle with respect to the $$x-$$axis, $$\theta_f$$, does the resulting velocity make?