Problem 76.

A plane flies 50 degrees east of south for 100 km then 400 km north and then 20 degrees north of west for 250 km.

Solution:

This problem is easier to solve in terms of components.

The net displacement is the vector sum of three displacements: the first displacement (, the second displacement ( ), and the third displacement ( ):

Then we can find the x and y components of the displacement vectors and finally the net displacement:

Then the magnitude of the net displacement is