Drawing a vector from the x and y components.

Click For Summary
SUMMARY

This discussion focuses on solving vector problems using x and y components. The vectors provided are v(sub)x=20m/s, v(sub)y=40m/s and a(sub)x=2.0m/s², a(sub)y=-6.0m/s². To find the vector's magnitude and direction, users should apply the Pythagorean Theorem and trigonometric functions. A sketch illustrating the right triangle formed by the x and y components is essential for visualizing the solution.

PREREQUISITES
  • Understanding of vector components in physics
  • Familiarity with the Pythagorean Theorem
  • Basic knowledge of trigonometric functions (sine, cosine)
  • Ability to draw and interpret geometric sketches
NEXT STEPS
  • Learn how to apply the Pythagorean Theorem to find vector magnitudes
  • Study trigonometric functions for calculating angles from vector components
  • Explore vector addition and subtraction in two dimensions
  • Practice drawing vectors and their components in various scenarios
USEFUL FOR

Students in physics or engineering courses, educators teaching vector analysis, and anyone looking to improve their understanding of vector representation and calculations.

adare
Messages
2
Reaction score
0
Hey everybody, sorry if I sound like a noob, but I keep emailing my teacher and he doesn't respond, I would really appreciate it if someone could help me understand these types of problems.

Thanks!

Homework Statement


Each of the following vectors is given in terms of its x and y components. Draw the vector, label an angle that specifies the vector direction, then find the vector's magnitude and direction.
a. v(sub)x=20m/s, v(sub)y=40m/s
b. a(sub)x=2.0m/s^2, a(sub)y=-6.0m/s^2

P.S. I'm not looking for anyone to give me the answer I just would like to know how to go about solving them.
 
Last edited:
Physics news on Phys.org
Draw a sketch. The x and y components are the legs of a right triangle. Use the Pythagorean Theorem and trig for the solution.
 
Thanks for your quick reply!
 

Similar threads

Replies
8
Views
1K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 3 ·
Replies
3
Views
825
  • · Replies 17 ·
Replies
17
Views
1K
Replies
3
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
13
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
12
Views
1K