You and your friend are swinging a baseball ($m=0.75\text{ kg}$) in a circle (attached to a mass-less rope). The rope has a length of $r=1.25\text{ m}$. The baseball is currently moving at an angular velocity of $\omega=3.5\text{ rad/s}$.

If a torque of $5.0\ \mathrm{ N\cdot m}$ perpendicular to the lever arm is applied for $t=2.0\text{ s}$ in the direction of motion, which of the following is the final angular velocity of the baseball?