A uniform thin rod of length 0. 85 m and mass 4. 1 kg can rotate in a horizontal plane about a vertical axis through its center. The rod is at rest when a 4. 4 g bullet traveling in the rotation plane is fired into one end of the rod. As viewed from above, the bullet's path makes angle θ=60 5 with the rod. If the bullet lodges in the rod and the angular velocity of the rod is 11. 0 rad/s immediately after the collision. what is the bullet's speed just before impact?