Asked by tom
Canadian snowbirds usually follow the I-15 at a speed of about 120 kilometers per hour. Canadian
geese, on the other hand, migrate approximately along a north-south direction for well over a thousand
kilometers in some cases, traveling at speeds up to about 100 kilometers per hour. Suppose one such
bird (Candian goose) is flying at 100 kilometers per hour relative to the air, but there is a 70 kilometer
per hour wind blowing from 30 degrees north of west,
(a) at what direction should the bird head so that it will be traveling 20 degrees west of north relative
to the ground?
(b) How long will it take the bird to cover a ground distance of 1000 kilometers?
geese, on the other hand, migrate approximately along a north-south direction for well over a thousand
kilometers in some cases, traveling at speeds up to about 100 kilometers per hour. Suppose one such
bird (Candian goose) is flying at 100 kilometers per hour relative to the air, but there is a 70 kilometer
per hour wind blowing from 30 degrees north of west,
(a) at what direction should the bird head so that it will be traveling 20 degrees west of north relative
to the ground?
(b) How long will it take the bird to cover a ground distance of 1000 kilometers?
Answers
Answered by
Henry
a. Vr = -100i + 70km[330o] =
-100i + 60.6-35i = 60.6 - 135i = 148km[65.8o] S. of E = 24.2o
E. of S. = Resultant velocity of the goose.
Do you mean 20o W. of S.? If so,
Direction = 24.2 + 20 = 44.2o W. of S.
b. d = V*t = 1000, t = 1000/V = 1000/148 = 6.76 h.
-100i + 60.6-35i = 60.6 - 135i = 148km[65.8o] S. of E = 24.2o
E. of S. = Resultant velocity of the goose.
Do you mean 20o W. of S.? If so,
Direction = 24.2 + 20 = 44.2o W. of S.
b. d = V*t = 1000, t = 1000/V = 1000/148 = 6.76 h.
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