Problem 53PE

A seagull flies at a velocity of 9.00 m/s straight into the wind. (a) If it takes the bird 20.0 min 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 he take to return 6.00 km? (c) Discuss how the wind affects the total round-trip time compared to what it would be with no wind.

Solution to 53PE

Step 1 of 4

We need to find the velocity of the wind when a seagull is flying straight into the wind with a velocity of 9m/s and travels 6 km in 20 minutes relative to earth. We are asked to find the time it takes seagull to travel 6 km if it is moving in the direction of the wind and how the wind effects the total round trip.

Given data:

is the velocity of the seagull.

is the time it takes to move the distance of 6km.

is the distance it travelled relative to earth.

The term relative to earth is in effect the relative velocity of the seagull and the wind.

We know that,

is the velocity of the gull with respect to the wind.