Can You Solve Graphical Vector Problems Using Only Math and Integration?

Click For Summary
SUMMARY

It is possible to solve graphical vector problems using only integration and mathematical principles without the need for graphical vector addition. The discussion emphasizes that while graphical methods may simplify certain problems, mathematical approaches can yield correct solutions through intuition and visual representation. Participants confirm that many two-dimensional motion problems can be effectively addressed using integration techniques, even if they are traditionally solved graphically.

PREREQUISITES
  • Understanding of integration techniques in calculus
  • Familiarity with vector concepts in physics
  • Knowledge of two-dimensional motion equations
  • Basic skills in visual representation of mathematical problems
NEXT STEPS
  • Study integration methods for solving motion problems in physics
  • Explore vector decomposition techniques in two dimensions
  • Practice solving graphical vector problems using only mathematical approaches
  • Review examples of graphical versus mathematical solutions in vector analysis
USEFUL FOR

Students preparing for exams in physics, particularly those focusing on vectors and motion, as well as educators seeking alternative teaching methods for vector problem-solving.

isukatphysics69
Messages
453
Reaction score
8

Homework Statement


I have an exam on vectors and 2 dimensional motion today. I NEED to know if it is possible to solve any GRAPHICAL VECTOR PROBLEM using only INTEGRATION AND MATH WITHOUT ADDING VECTORS TOGETHER GRAPHICALLY. So given any word problem that is supposed to be solved using that stupid graphic method, you can also just solve with math and intuition and pictures right?? I have no frikkin clue how to do it the graphical way and i have solved tons of 2d motion problems using just math. Really hoping the prof doesn't try to make us do it graphically but if he does i am planning to get partial credit by solving it without adding vectors and integrating vectors.

Homework Equations

The Attempt at a Solution

 
Physics news on Phys.org
isukatphysics69 said:
So given any word problem that is supposed to be solved using that stupid graphic method, you can also just solve with math and intuition and pictures right?
Sure.
It can be more complicated in some problems.

Adding vectors graphically is really not magic.
 
isukatphysics69 said:
I have no frikkin clue how to do it the graphical way
Can you give an example problem?
 

Similar threads

Solve velocity addition problems using 4-vector
  • · Replies 8 ·
Replies
8
Views
2K
Is it possible to solve this problem without using integrals or derivatives?
  • · Replies 4 ·
Replies
4
Views
2K
How do I add vectors using geometric and component-wise methods?
  • · Replies 7 ·
Replies
7
Views
13K
High School What unique contributions to math did linear algebra make?
  • · Replies 19 ·
Replies
19
Views
4K
Vector 2B - Vector A (graphical method)
  • · Replies 4 ·
Replies
4
Views
9K
Vector Sum and Difference: Solving with Graphical Methods | Homework Help
  • · Replies 3 ·
Replies
3
Views
4K
How Can a Math-Loving Physics Student Excel in Mathematical Physics?
  • · Replies 32 ·
2
Replies
32
Views
2K
Undergrad Solving simultaneous vector equations
  • · Replies 11 ·
Replies
11
Views
3K
Solving vectors using component method
  • · Replies 3 ·
Replies
3
Views
24K
Graduate The eigenvalue power method for quantum problems
  • · Replies 2 ·
Replies
2
Views
2K