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well these are only 10in subs. even though they are JL audio which is a top of the line brand, these are some of their older subs. I have a 12in W6v2 in my car, and that sounds amazing. Ive never heard the W0s. It may just be the way that the sub hits and you wont be able to do anything about it...
definitely try switching up the box. bandpass boxes are made to give off a much more booming sound. if you want the sub to hit harder, try a sealed box. otherwise give a ported one a shot.
dynamat will certainly help, but it is rather expensive. you would probably want to double layer the trunk to help with insulation, and that can get rather pricy. I dont think it would be worth it to do the doors due to the car being a convertable. you get plenty of roadnoise just from that so I doubt the dynamat change would be noticable.
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