Jack fired a few rounds into Rylex. Although she was still unharmed, he was able to notice the disparities between the improve gun and the original. He knew how much this gun was better than the first, and he understood how power it could be against enemies.
If the former could take down a bear with just 60 - 70% accuracy, then this one would be able to bring down a bear with just a measly 40 - 50% accuracy.
He perceived that even if he fired at the chest of the bear, he would be able to bring it down with a few more bullets. Chances make it, that even an amateur may be able to bring down a powerful beast with it.
The recoil was also lighter than the first despite the outstanding firing and penetrating power. Jack was sure that even a six year old would be able to utilize the gun effectively without any powerful backlashes.