A Uniform Thin Rod of Length 0 $\times$ 10² M/s $\times$ 10³ M/s

Multiple Choice

A uniform thin rod of length 0.40 m and mass 4.0 kg can rotate in the horizontal plane about a vertical axis through one end. The rod is at rest when a 3.0-g bullet traveling in the horizontal plane of the rod is fired into the free end of the rod. As viewed from above, the direction of the bullet's velocity makes an angle of 60^o with the rod. The bullet lodges in the rod, and the angular velocity of the rod is 10 rad/s immediately after collision. The magnitude of the bullet's velocity just before impact was

A) 2.1 $\times$ 10² m/s.
B) 1.8 $\times$ 10³ m/s.
C) 3.6 $\times$ 10³ m/s.
D) 1.8 $\times$ 10⁴ m/s.
E) 2.1 $\times$ 10⁴ m/s.