The stiff arm catch leads to a greater force. SI unit of impulse is Newton-second or kg-m-s-1 and CGS unit is g. Impulse is a vector quantity and its direction is the same as that of force. For the maximum force, I believe it would be: F m a x 2 F a v g 2 v m k Although its hard for me to think of something that would more appropriately be the 'impact force', you still need to refine your question. And this is why catchers catch the pitched ball with a relaxed arm. The impulse of a force is a measure of the total effect of force. So catching a baseball with a relaxed arm and a retracting motion leads to a smaller force. You also have determined that the collision times (∆t) is greater for the catch made with the relaxed arm. You have just determined that it is the same for both Cases.
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