A roller coaster moves 85m at 35 degrees S of W, and then travels 30 m at 45 degrees W of N. What is its displacement from its starting point?

Answer 1

break each vector into components.

85@35SofW=85sin35 S + 85cos35W
30m@45W of N= -30sin45 S +30cos45 W

add the vectors:

d= 55 sin 35 S + 115 cos 45 W