The final velocity of the carts is 3 m/s.
What is the principle of conservation of momentum?
Recall that from the principle of conservation of momentum, we know that the momentum after collision is equal to the momentum before collisions thus the momentum remains unchanged during collision.
Thus;
m1u1 + m2u2 = m1v1 + m2v2
m1 and m2 are the masses of the carts
u1 and u2 are the initial velocities of the carts
v1 and v2 are the final velocities of the carts
Therefore;
(3 * 4) + ( 1 * 0) = (3 + 1 ) v
v = 12/4
v = 3 m/s
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