Canada 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 goose is flying at 100 km/h relative to the air but a 40-km/h wind is blowing from west to east,
(a) at what angle relative to the north–south direction should this bird head to travel directly southward relative to the ground?
(b) How long will it take the goose to cover a ground distance of 500 km from north to south? (Even on cloudy nights, many birds can navigate by using the earth’s magnetic field to fix the north–south direction.)

Answer

given,

taking x-direction at west  and y-direction as north

Wind is moving from east to west

  x = 40 Km/h, y = 0 Km/h

bird has to fly opposite to the wind

speed of wind, x = -40 Km/h

a) angle of bird

       θ = 23.58° South of West

b) Speed of the bird = 100 Km/h

Speed of bird north to south = 100 cos 23.58°

                                                = 91.65 Km/h

time taken to travel 500 Km

    t = 5.45 hr

time to travel 500 Km from North to south is equal to 5.45 hr.

found in the nucleus

has mass of one amu

hi i’m sorry to call us today so we will get back with y’all and we will have to do it haha omg was the day