Opsss... Did I missed reading that the final velocity was 11.3 fps not 0 fps.
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Well if you know the delta time when and after the impact then you can use the impulse equation, then multiply by delta time to get the answer.
Else you can do it this way
Sum (F) = ma
a =...
Approximate:
Sum of F = ma
ads = vdv => v^2 = u^2 + 2as; u =0
a = v^2/2s => a = 11.3^2/2(2) => a = 31.92 ft/s^2
Sum of F = ma
=> Reaction = m*31.92 Aproximatelly
I can't recall English unit; Substitute m as the mass of that thingo to find the approximate reaction.