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

ID: 1655207 • Letter: C

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 tone 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. 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? theta = How long will it take the bird to cover a ground distance of 500 km from north to south? t =

Explanation / Answer

Part A

= arcsin (42/100) = 24.83° to west
Vx = 42-42 = 0 km/h

Part B

Vy = 100*cos 24.83° = 90.75 m/h
t = d/Vy = 500/90.75 = 5.51 h

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