Canadian snowbirds usually follow the I-15 at a speed of about 120 kilometers per hour. Canadian

Question

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?

Answer 1

See previous post: Mon, 2-8-16, 7:33 PM.

Answer 2

Edward travels 150 kilometers due west and then 200 kilometers in a direction 60° north of west. What is his displacement in the westerly direction?

Answer 3

To determine the displacement in the westerly direction, we need to find the x-component of the displacement vector.

First, let's analyze the given distances traveled:

* Edward travels 150 kilometers due west. This means he has traveled 150 kilometers in the negative x-direction.

* Edward then travels 200 kilometers in a direction 60° north of west. To find the x-component of this distance, we'll use trigonometry. The angle between the north direction and the west direction is 90°, so the angle between the north direction and the direction Edward travels is 90° - 60° = 30°. The x-component of this distance can be found using cosine:

x-component = 200 km * cos(30°) ≈ 200 km * 0.866 = 173.2 km

Now, let's calculate the displacement in the westerly direction:

The displacement in the x-direction is the sum of the x-components of the distances traveled:

Displacement in the x-direction = -150 km + 173.2 km = 23.2 km

Therefore, Edward's displacement in the westerly direction is approximately 23.2 kilometers.