Parametric Plane Motion
by Anonymous · ⭐ 1 · 🍴 0
Learn parametric functions that describe a point’s position over time t. Move t to watch the path unfold, draw a projectile’s trajectory with its initial speed and angle, and check the velocity at each moment with arrows.
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About this app
Parametric Plane Motion is an interactive mathematics app for exploring how a point’s position changes with the parameter t. Adjust t to trace circles, an ellipse, and a line, then compare clockwise and counterclockwise motion. A separate projectile-motion view shows how initial speed and launch angle affect a parabolic path, while the velocity view displays the instantaneous velocity vector as an arrow.
Use cases
- High school students learning parametric equations
- Teachers demonstrating plane motion and trajectories
- Learners comparing direction and speed on different curves
- Students exploring projectile range and maximum height
- Reviewing velocity vectors as derivatives of position
Features
- Interactive tracing of four parametric curves: circles, ellipse, and line
- Time t controls that reveal the portion of a curve already traced
- Projectile trajectory controls for initial speed and launch angle
- Visual comparison of projectile peak height and horizontal range
- Velocity arrows showing instantaneous speed and direction
- Step-by-step missions with reset and next controls