How Do You Calculate Direction in Vector Displacement Problems?

Click For Summary
SUMMARY

To calculate the net displacement in vector displacement problems, one must determine both the magnitude and direction. In Jim's case, he walks 100m south, 60m east, and 20m north, resulting in a net displacement of 80m south and 60m east. The magnitude of the net displacement can be calculated using the formula d = √((x2 - x1)² + (y2 - y1)²), which yields a hypotenuse of 100m. The direction can be expressed using trigonometric functions, specifically the arctangent function to find the angle of the hypotenuse relative to the south direction.

PREREQUISITES
  • Understanding of vector displacement concepts
  • Familiarity with the Pythagorean theorem
  • Basic knowledge of trigonometric functions, particularly arctangent
  • Ability to interpret Cartesian coordinates
NEXT STEPS
  • Learn how to apply the Pythagorean theorem in vector problems
  • Study the use of trigonometric functions in determining angles
  • Explore vector addition and subtraction techniques
  • Investigate real-world applications of vector displacement in physics
USEFUL FOR

Students studying physics, educators teaching vector concepts, and anyone needing to solve vector displacement problems in practical scenarios.

kraaaaamos
Messages
20
Reaction score
0
Displacement: Magnitude And Direction (urgent)

Homework Statement



Jim walks 100m due south, 60m due east, and then 20m due north. What is his net
displacement (both magnitude and direction)?

Homework Equations



I know how to find the net displacement by the magnitude of the distance...
using the d = sq. rt ( (x2-x1)^2 + (y2-y1)^2 )

but i don't know how to express the direction?

PLEASE HELP!

The Attempt at a Solution

 
Last edited:
Physics news on Phys.org
So he goes 80m S and 60m E. If it were a triangle with 80m is a down pointing leg and 60 as a right pointing leg, how would you find the direction the hypotenus goes in?
 
Think vectors.
 

Similar threads

What is the displacement and average velocity of a classic car in a road rally?
  • · Replies 1 ·
Replies
1
Views
2K
Displacement: Magnitude and Direction
  • · Replies 1 ·
Replies
1
Views
16K
Vector question - North-east direction
  • · Replies 38 ·
2
Replies
38
Views
8K
Direction of Resultant Displacement
  • · Replies 1 ·
Replies
1
Views
3K
Overall displacement vector from a walking trip....
  • · Replies 19 ·
Replies
19
Views
8K
Magnitudes and Directions In Uniform Circular Motion
  • · Replies 1 ·
Replies
1
Views
2K
Calculating Displacement: Magnitude & Direction of a Car's Motion
  • · Replies 3 ·
Replies
3
Views
2K
Finding the Magnitude and Direction of the Displacement Vector for a Ship's Trip
  • · Replies 2 ·
Replies
2
Views
5K
How to Calculate the Bird's Net Displacement Using Vector Addition?
  • · Replies 3 ·
Replies
3
Views
2K
What is the magnitude and direction of the electric field
  • · Replies 23 ·
Replies
23
Views
4K