Answer :
Final answer:
The velocity of the wind is 6.01 m/s. It will take approximately 25.7 minutes for the bird to return 6.00 km when it flies with the wind.
Explanation:
To calculate the velocity of the wind, we can use the formula:
Velocity of the wind = Actual velocity - Effective velocity
Given that the bird's actual velocity is 10.0 m/s and it takes 25.0 min (or 0.417 hours) to travel 6.00 km, we can calculate the effective velocity:
Effective velocity = Distance / Time
Substituting the values:
Effective velocity = 6.00 km / 0.417 hours = 14.39 km/h
Converting the effective velocity to m/s:
Effective velocity = 14.39 km/h * (1000 m / 1 km) * (1 hour / 3600 s) = 3.99 m/s
Now, we can calculate the velocity of the wind:
Velocity of the wind = Actual velocity - Effective velocity = 10.0 m/s - 3.99 m/s = 6.01 m/s
To calculate the time taken to return 6.00 km when the bird flies with the wind, we can use the formula:
Time = Distance / Velocity
Substituting the values:
Time = 6.00 km / (10.0 m/s + 6.01 m/s) = 0.428 hours
Converting the time to minutes:
Time = 0.428 hours * 60 min/hour = 25.7 min
Learn more about calculating the velocity of the wind and the time taken to return here:
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