$(2$ pts$)$ If the hamstrings apply an angular impulse of $-5\mathrm{.}7k{g}^{**}\frac{m^2}{s}$ to bring a swinging leg to a stop, what was the initial angular velocity of the leg if the leg has a moment of inertia of $0\mathrm{.}61k{g}^{**}{m}^2?$

Angular velocity: $q,$