A at rest uniform thin rod with L = .500m and m = 4.00kg is hit by a bullet at θ = 60.0o on one end of the rod and lodges its self into the rod. The bullet has a mass of 3.00g and the rod rotates around its center. Right after the collision its has ω = 10.0 rad/s. What was the speed of the bullet before it hit the rod?