Sure you want to step into your punches but you don't want to over extend yourself because you give up balance which is bad.
Watch Wladimir Klitschko jab....he's got a quick and powerful jab.
If you think about punch in terms of momentum it's mass + speed so the faster you throw a punch then the harder it's going to hit and the more leverage you use on a punch then the harder it's going to land so either way you can increase the power of your jab
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