Final answer:
The change in the falcon's elevation during its dive is -36.8 meters, which means it descended 36.8 meters while diving towards its prey.
Step-by-step explanation:
The question asks us to find the change in the falcon's elevation during its dive, given that it changes elevation by an average of -11.5 meters per second over a period of 3.2 seconds.
To calculate this, we multiply the rate of change of elevation per second by the total time of the dive:
Change in elevation = Rate of change of elevation × Total time
Change in elevation = -11.5 m/s × 3.2 s
Change in elevation = -36.8 meters
Since the change in elevation is a negative value, this means the falcon is diving downward. A change of -36.8 meters signifies that the falcon descended 36.8 meters during its dive towards its prey.