I don’t quite get what a newton of force does.

The definition is such: 1 N is the force that, when applied to a mass of 1 kg, produces an acceleration of 1 m/s^2.

My problem is lies with the acceleration bit. To me, it seems like this definition is telling me that if I apply 1 N of net force to a 1 kg object, I will set it in motion and it will continue to accelerate **forever** at 1 m/s^2. That means, it will continue to travel faster and faster as long as I keep that 1 N of net force pushing the object.

But the thing is, if I push this 1 kg book that’s in front of me right now with a force of 1 N, what happens is (as far as I can tell) that the book will accelerate until it reaches a certain velocity and then it will continue to travel at that constant velocity as long as I keep pushing with 1 N of force. Constant velocity = zero acceleration… so what gives?

An explanation I’ve been toying with is that the acceleration of the object will slowly decrease as the object travels faster. Initially, the acceleration is 1 m/s^2, but because the object travels faster, more force is required to move the object, and thus acceleration begins to decrease. Is this a correct assumption? Or am I way off base? If this assumption is correct, could someone explain it further, because I don’t really trust my own explanation.

Thanks.