Parametric Plane Motion
by Anonymous
Vary the parameter t and a projectile's initial speed and angle to trace the path of a point and see its velocity vector at each instant.
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About this app
Parametric Plane Motion is an interactive mathematics app for exploring how a point moves as the parameter t changes. Compare circular, clockwise circular, elliptical, and linear paths, adjust projectile speed and launch angle, and inspect the instantaneous velocity vector at different points. Guided missions help learners connect parametric equations with trajectories, projectile motion, and differentiation.
Use cases
- High school students studying parametric equations and plane motion
- Teachers demonstrating trajectories and velocity vectors in class
- Learners comparing how direction differs even when a curve has the same shape
- Practice with projectile range, peak height, initial speed, and launch angle
Features
- Interactive tabs for point trails, projectile flight, and velocity arrows
- Switch between four parametric curves and vary time t
- Adjust initial projectile speed and launch angle to see changes in the parabola
- Visualize the traced path, complete curve, launch angle, and flight path
- Display instantaneous velocity vectors with direction and speed information
- Guided missions with reset and next-step controls