Final answer:
The velocity after impact can be found using the conservation of momentum principle, as the total momentum before the collision is equal to the total momentum after the collision.
Step-by-step explanation:
In this scenario, the conservation of momentum applies. According to Newton's third law of motion, the total momentum before the collision must be equal to the total momentum after the collision. Since the falcon and dove are in midair and no external forces are acting on them, their momentum will be conserved.
To calculate their velocity after impact, we can use the following equation:
Total momentum before = Total momentum after
(Mass of falcon x velocity of falcon) + (Mass of dove x velocity of dove) = (Mass of falcon + Mass of dove) x Velocity after impact
Plugging in the values, we get:
(1.75 kg x 28.0 m/s) + (0.645 kg x 7.00 m/s) = (1.75 kg + 0.645 kg) x Velocity after impact
Simplifying the equation, we find that the velocity after impact is approximately 15.9 m/s.