Final answer:
Without additional information regarding the initial velocities and masses of carts involved in the inelastic collision, it is not possible to determine the final velocity of cart A after the collision.
Step-by-step explanation:
To determine the final velocity of cart A after an inelastic collision, where the final velocity of cart B is given as 1 m/s, we need more information such as the initial velocities and masses of the carts or the conservation of momentum formula. The problem as stated does not provide sufficient data to calculate the final velocity of cart A. In general, during an inelastic collision, momentum is conserved but kinetic energy is not. If cart A and cart B have equal mass and stick together in a perfectly inelastic collision, the final velocity of both would be the average of their initial velocities. However, without additional data, this specific question cannot be answered definitively.