To calculate the final velocity of the puck after being hit by Dave, the Impulse-Momentum Theorem should be applied, considering both the initial velocity and the force exerted. The puck has an initial velocity of 12 m/s directed south and is influenced by a force of 368 N directed N30E for 0.25 seconds. The calculation must account for the vector nature of force and velocity, as the east-west force will only affect the puck's velocity in that direction while the southward component remains unchanged. An initial attempt at the calculation yielded an unrealistic final velocity due to incorrect unit handling and vector consideration. Properly applying the impulse concept will yield a more accurate final velocity for the puck.