- #1
Madara Uchiha
- 6
- 0
Homework Statement
A person walks 20m [N20(degrees)E], then 120m [N50(degrees)W], then 150m[W], and finally 30m [S75(degrees)E]. Find the person's final displacement.
Homework Equations
Is my solution correct? The textbook answers are 230m[N23(degrees)W]
What did I do incorrect? Explain please :/ :(
The Attempt at a Solution
*Horizontal Component*
(20m)cos70
-(120m)cos40
-150m
(30m)cos75
Total for horizontal component: -227m
*Vertical Component*
(20m)sin70
(120m)sin40
0
-(30m)sin75
Total for vertical component: 67m
Total displacement = sqrt(-227m^2)+(67m^2)
=237m
Direction: tan^-1(67m/227m)
=16.4
Answer= 237m[W16(degrees)N]