Awildlife researcher is tracking a flock of geese. the geese fly 4.0km due west, then turn toward the north by 40 degrees and fly another 3.5km.

part a: how far west are they of their initial position?
part b: what is the magnitude of their displacement?

a.6.68 km

b.7.01 km

Explanation:

The gees fly due to west=4.0 km

Geese fly another distance due to north=3.5 km

a.We have to find the west distance from their initial position

From below diagram

The x-component of the total distance that geese flies which is the west distance from the initial position

B. The vertical component of total distance that gees flies from initial position

Magnitude of displacement ,D=

Substitute the values then we get

Magnitude of their displacement,D=

Magnitude of their displacement,D=7.01 km