Answer:
(a). The distance traveled is 7.06 km towards the west.
(b). Their displacement magnitude is 7.51 km.
Explanation:
The information given states that,
The geese initially move 4.0 km directly west, then alter course to the north at a 40° angle, covering an additional 4.0 km.
Based on the diagram,
(a). To determine the distance
We will apply the distance formula

Insert the values into the equation


The resultant distance is 7.06 km westward.
(b). We will find the total displacement's magnitude
Using the displacement formula

Insert the values into the equation


The total displacement magnitude is 7.51 km.
In conclusion, (a). The traveled distance is 7.06 km towards the west.
(b). The magnitude of their total displacement is 7.51 km.