Final answer:
When two objects collide and stick together, the velocity of the compound body after the collision is zero. Therefore, the correct option is A.
Step-by-step explanation:
When two objects collide and stick together, the momentum of the system is conserved before and after the collision. Momentum is mass multiplied by velocity. In this case, both objects have the same mass and velocity, so their momenta are equal and opposite. When they collide and stick together, their momenta add up to give zero momentum. Therefore, the velocity of the compound body after the collision is zero (A).