Final answer:
Two particles that collide and stick together will move in the same direction as the initial momentum. The specific scenario indicates a collision where two masses stick together and continue to move to the right, conserving momentum.
Step-by-step explanation:
The question relates to the concept of conservation of momentum and inelastic collisions in Physics. When two particles collide and stick together, like in this scenario, they become a single combined mass post-collision. The resultant motion of this combined mass depends on their initial velocities and masses. In cases c and d, where we have specific velocities mentioned (c indicating a combined post-collision velocity of 7 m/s to the right, and d with mass A and B moving at different velocities), they are contrasting scenarios and cannot simultaneously describe the same event.
If, however, we evaluate the given information of mass A sliding across the table, slowing down before the collision, and then sticking to mass B, we can use momentum conservation to conclude that after the collision, the combined particles will move to the right (the +x-direction) if the system is initially moving to the right before the collision. This matches with the provided reference that immediately after the collision, the system moves at 5 m/s in the +x-direction.