3D Particle Motion with Position & Velocity Controls

3D Particle Motion with Position & Velocity Controls

Set initial position and velocity to visualize particle motion
Initial Position: r₀ = 0.0 i + 0.0 j + 0.0 k (meters)
Initial Velocity: v = 0.0 i + 0.0 j + 0.0 k (m/s)

Initial Position

0.0 meters
0.0 meters
0.0 meters

Initial Velocity

0.0 m/s
0.0 m/s
0.0 m/s
Current Position: (0.00, 0.00, 0.00) m
Current Velocity: (0.00, 0.00, 0.00) m/s
Time Elapsed: 0.00 s
Distance Traveled: 0.00 m

Physics Explanation

This simulation demonstrates uniform linear motion in 3D space. The particle's position at any time t is calculated by:

r(t) = r₀ + v·t

Key Concepts:

  1. Position (r): The particle's location in 3D space (x,y,z)
  2. Velocity (v): The rate of change of position (constant in this simulation)
  3. Uniform Motion: When velocity is constant, position changes linearly with time
  4. Distance Traveled: Calculated as d = |v|·t (magnitude of velocity multiplied by time)

Interactivity:

  • Set initial position and velocity using the sliders
  • Start/pause/reset the motion
  • Toggle visibility of velocity vector and motion trail
  • Drag to rotate the 3D view
  • Scroll to zoom in/out

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