What exactly is an active baby?
A typical feature of a human baby is the lack of tolerance to be left alone. Putting it down is hardly possible and is often signaled with violent tears. While our babies are happy in the arms and in the sling or carrying aid and usually fall asleep.
A precocial, on the other hand, can see, hear and move about immediately after birth. That would be, for example, horses or guinea pigs.
The passive baby, eg a baby kangaroo, is held in the mother's pouch and does not have to hold on to itself. This is because it matured only briefly in the womb and then continued to mature naked and blind in the pouch.