Final answer:
To calculate the time it takes for the falcon to reach the pigeons, we can use the equations of motion. Using the equation d = (1/2)gt², and substituting the given values, we find that it takes approximately 3.96 seconds for the falcon to reach the pigeons.
Step-by-step explanation:
To calculate the time it takes for the falcon to reach the pigeons, we can use the equations of motion. Since the falcon starts from rest, and assuming there is no air resistance, we can use the equation:
d = (1/2)gt²
Where d is the distance fallen (76 meters), g is the acceleration due to gravity (9.8 m/s^2) and t is the time.
By substituting the given values into the equation and solving for t, we can find the time it takes for the falcon to reach the pigeons.
t = √(2d/g)
Plugging in the values gives:
t = √(2*(76)/9.8)
≈ √(154/9.8)
≈ √(15.7)
≈ 3.96 seconds
Therefore, it takes approximately 3.96 seconds for the falcon to reach the pigeons.