A wizard of the school of trajectories has spent less time diving into books, instead they tinkered to combine alchemy, magic and a new type of deadly weapon.

Firearm Proficiency

Starting when you choose this archetype at 2nd level, you gain proficiency with firearms, allowing you to add your proficiency bonus to attacks made with firearms.

Battle Plans

Also at 2nd level, when you take the attack action you can use your intelligence modifier for attack and damage rolls for attacks you make using a firearm. Also, while holding a firearm you can use it as a spellcasting focus for your wizard spells.

Unload

Starting at 6th level, when you take the attack action you can make a second attack using a firearm as part of this action. Alternatively you can make a single attack using a ranged weapon. You can do so a number of times equal to your intelligence modifier and regain expended uses after you finish a long rest.

Ricochet

Starting at 10th level you learn to expend magic to correct your projectiles path. When you miss an attack using a ranged weapon you can expend a spell slot to manipulate the attack in the following way: Pick a different creature within 30 ft of the original target and make a new attack roll against this creature and add the expended spell slots level to the result. If this feature causes the attack to hit it deals an additional 1d6 force damage for each level of the expended spell slot.

Unyielding Arsenal

Starting at 14th level the magic which grants you your arcane arsenal becomes second nature to you. You can concentrate on two spells at once if at least one of them is a spell which modifies your weapon attacks such as magic weapon or hail of thorns.