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Gunpowder burns, heat and pressure rise, ball accelerates

Guns are designed so that the potential of the gunpowder is translated into

momentum of the cannonball, if you hold the barrel diameter and cannonball size the same, the only way to increase the momentum (and velocity) is to apply the gunpowder force (pressure) for longer, this means:

1) A longer barrel

2) More gunpowder

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