Direction of resulting displacement

  • #1
55
3

Homework Statement:

attached below:

Relevant Equations:

displacement=final velocity-initial velocity
螢幕截圖 2020-05-21 下午12.57.17.png
螢幕截圖 2020-05-21 下午12.57.31.png


I do not understand part b.
I know that x180/pi changes the value into a degree, but i do not understand what's going on inside the bracket. And how did the equation calculated the direction?
 

Answers and Replies

  • #2
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
35,250
6,315
Homework Statement:: attached below:
Relevant Equations:: displacement=final velocity-initial velocity

View attachment 263178View attachment 263179

I do not understand part b.
I know that x180/pi changes the value into a degree, but i do not understand what's going on inside the bracket. And how did the equation calculated the direction?
Suppose the route goes from A north to B, west to C, then south to D.
Draw the diagram.
The angle you want is DAB. That is how much west of north the displacement is.
Now draw a line East from D until it hits the line AB at E. What is the distance AE? You already have the distance AD.
In terms of those, what is the cosine of DAB?
 
  • #3
55
3
Suppose the route goes from A north to B, west to C, then south to D.
Draw the diagram.
The angle you want is DAB. That is how much west of north the displacement is.
Now draw a line East from D until it hits the line AB at E. What is the distance AE? You already have the distance AD.
In terms of those, what is the cosine of DAB?
thank you! I understand now!:))
 
  • Like
Likes Delta2

Related Threads on Direction of resulting displacement

  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
1
Views
2K
Replies
3
Views
47K
Replies
1
Views
717
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
1
Views
2K
Replies
6
Views
10K
  • Last Post
Replies
2
Views
4K
Replies
15
Views
5K
Replies
2
Views
3K
Top