Geese migrate along north and south directions for well over a thousand kilometers in some cases traveling speeds up to about 100 km/h. If one such bird is flying at 100km/h relative to the air but there is a 34.0 km/h wind blowing from the west to east. A.) at what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground? Express answer in degrees b.) how long will it take the bird to cover a ground distance of 500 km from north to south? ( Note: Even on cloudy nights many birds navigate using the earth's magnetic field to fix the north-south direction)
Geese migrate along north and south directions for well over a thousand kilometers in some cases traveling speeds up to about 100 km/h. If one such bird is flying at 100km/h relative to the air but there is a 34.0 km/h wind blowing from the west to east.
A.) at what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground? Express answer in degrees
b.) how long will it take the bird to cover a ground distance of 500 km from north to south? ( Note: Even on cloudy nights many birds navigate using the earth's magnetic field to fix the north-south direction)
Consider velocity of bird with respect to air as , velocity of bird with respect to ground as and velocity of air with respect to ground as . According to the direction given in the question, the diagram is shown below:
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