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 40 km/h wind blowing from west to east, (a) At what angle relative to north-south direction should this bird head so that it will be traveling directly southward relative to the ground? (b) How long will it take the bird to cover a ground distance of 500 km from north to south?

Explanation / Answer

= arcsin[42/100] = 25°

Vs = 100*cos25° = 90.7 k/h;
t = D/Vs = 550/90.7 = 6.06 hr

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