Juggling Simulation: Investigating the Relationship Between X & Y Velocity

Click For Summary
SUMMARY

The discussion centers on a juggling simulation that explores the relationship between initial x and y velocities in projectile motion. It is established that while y-velocity determines the height of the ball's trajectory, x-velocity influences its horizontal displacement. The observed phenomenon where increasing the initial y-velocity results in a decrease in x-velocity is explained by the principle of vector decomposition, where the constant modulus of the velocity vector necessitates a trade-off between its components. This insight clarifies the interdependence of x and y velocities despite their conceptual independence.

PREREQUISITES
  • Understanding of basic physics concepts, specifically projectile motion
  • Familiarity with vector decomposition in physics
  • Knowledge of simulation tools for modeling motion, such as Unity or MATLAB
  • Basic programming skills to manipulate simulation parameters
NEXT STEPS
  • Research the principles of vector decomposition in physics
  • Explore projectile motion equations and their applications
  • Learn how to use Unity for physics simulations
  • Investigate the effects of varying initial conditions on projectile trajectories
USEFUL FOR

This discussion is beneficial for physics students, game developers working with simulations, and educators seeking to illustrate the principles of projectile motion and vector analysis.

Meowzers
Messages
20
Reaction score
0
Hi, I am working with a juggling simulation to better my understanding of projectile motion. However, I encountered a slight problem.

To my understanding, an initial y velocity and an initial x velocity are independent of each other. A y-velocity affects the height of how high the ball travels in the air whereas the x-velocity affects the horizontal displacement of the ball (to the other hand of the juggler).

So, let's say I want the ball to be juggled higher, why does it seem to also affect the x-velocity (as I observed in the simulation) when it's supposed to be independent of the height (y-axis)? The higher inital y-velocity I input, the higher the ball goes. So why does the inital x-velocity need to decrease? Isn't it supposed to stay the same?
 
Physics news on Phys.org
Velocity is a vector. In your case it is decomposed in x and y components. If the modulus of your vector is constant, increasing one component will decrease the other.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
Replies
40
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
52
Views
5K
Replies
14
Views
3K
Replies
10
Views
4K
  • · Replies 15 ·
Replies
15
Views
27K
  • · Replies 22 ·
Replies
22
Views
5K
Replies
1
Views
1K