Final answer:
To find the velocity of the falcon and dove after impact, apply the conservation of momentum principle using the masses and initial velocities provided, assuming no external forces act during the catch.
Step-by-step explanation:
The question revolves around the principle of conservation of momentum in physics. When the falcon catches the dove in midair, their velocities just after the impact can be found by using the equation that states the total momentum before the impact is equal to the total momentum after the impact. The formula is m1 * v1 + m2 * v2 = (m1 + m2) * v_final, where m1 and m2 are the masses of the falcon and the dove, and v1 and v2 are their initial velocities. Applying this formula with the provided values (assuming no external force acts on them during the catch), we can calculate their combined velocity after the impact.