A seagull flies at a velocity of 10.0 m/s straight into the wind.

(a) If it takes the bird 25.0 minutes to travel 6.00 km relative to the Earth, what is the velocity of the wind?

(b) If the bird turns around and flies with the wind, how long will it take to return 6.00 km?

Question

High School

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Answer :

yaswanthmandapati123 yaswanthmandapati123 · Answer 1 · 2023-12-20T18:03:39-05:00

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.

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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