Physics vector question?
vector A = 5 meters at 25 degrees
vector B = 8 meters at 60 degrees
If vectors A + B described a walking path from some arbitrary starting point, how far and in what direction would you have to walk to return to the exact starting point along the shortest path possible?
- Al PLv 71 decade agoFavorite Answer
Sum the components:
5* Cos(25)+ 8* Cos(60) =8.53153893518323 m
5* Sin(25)+ 8* Sin(60) =9.04129453897902 m
With rounding:How far:
Sqrt(Dx^2+Dy^2) = 12.4311 m
Arctan(Dy/Dx) = 46.66 degrees
Direction to starting point:
Angle = 180+46.66 = 226.66 degrees CCW
- sheldonlinkerLv 61 decade ago
A = 5m @ 25Â°
B = 8m @ 60Â°
The X component of A is 5Â·Cos(25Â°)
The X component of B is 8Â·Cos(60Â°)
Add the X components together to find the X component of the answer.
The Y component of A is 5Â·Sin(25Â°)
The Y component of B is 8Â·Sin(60Â°)
Add the Y components together to find the Y component of the answer.
The distance of the answer is â(final Y componentÂ² + final X componentÂ²).
The angle of the answer is Arctan(final Y component/final X component).