The mass of the ship is 57,000 tonnes * 2204 lb/tonne =1.25628 x 10**8 lbs
Divide the momentum of the one side (shells), by the mass of the other (ship), to get the initial velocity of the ship:
1.25628 x 10 **8
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6.075 x 10** 7
~= 2.0 ft/sec
Two minor math errors that significantly affect the answer.
The combined momentum of the shells is 6.075x10**5 ft*lb/s vice 6.075x10**7 ft*lb/s.
You reversed the division from your statement. It should be:
6.075 x 10**5
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1.25628 x 10**8
~= 4.849x10-3 ft/sec or ~6 hundredths of an inch.
I submit that this is insignificant when referring to a battleship.
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