$A$ ball moving with velocity $V$ undergoes a perfectly elastic collision with an identical ball moving in the opposite direction with velocity $2V$. Taking the direction of $V$ as positive,find the velocities of both balls after the collision.
- A$-V$ and $2V$
- B$2V$ and $-V$
- C$V$ and $-2V$
- D$-2V$ and $V$
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