Canadian geese migrate essentially along a north-south direction for well over a

Question

Canadian geese migrate essentially along a north-south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h. If one such bird is flying at 100 km/h relative to the air, but there is a 42.0 km/h wind blowing from west to east.

Part 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?

Part B

How long will it take the bird to cover a ground distance of 400 km from north to south? (Note: Even on cloudy nights, many birds can navigate using the earth's magnetic field to fix the north-south direction.)

Explanation / Answer

a) x-y direction in the wind blowing

x = 42, y =0

So, to counter the wind, the bird has to fly, x = - 42

So, angle = sin-1(42/100) = 24.83° in the direction of south due west

b) speed of bird is flying from north to south is 100 x cos 24.83° = 90.75 km/h

So, time taken = 400 km/ 90.75 km/h = 4.41 hours

Please rate my answer if you find it helpful, good luck...

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