Composition of motions
Decompose 2D motion: x = v_x0·t + ½ax·t², y = v_y0·t; v² = v_x² + v_y²; tanθ = v_y/v_x.
Curved motion & gravitation (senior)Composition, projectile, centripetal force, orbits.
Start here
Composition of motions
Motion composition: a boat crossing a river with current. This “Composition of motions” page is an MVP interactive sketch — formulas, controls, and live readouts in the browser; a fuller bench may follow.
Motion composition: a boat crossing a river with current.
Key formulas
x=v_{x0}t+\tfrac12 a_xt^2y=v_y tv=\sqrt{v_x^2+v_y^2}
How to use
- Adjust parameters in the left panel.
- Use play / pause and speed controls.
- Match right-side readouts to the formulas.
- Reset to return to the initial state.
Applications
- Composition of motions: Motion composition: a boat crossing a river with current.
- Classroom focus: v² = v_x² + v_y².
FAQ
What does MVP mean on this page?
An interactive sketch with formulas and parameters. Polished Ready labs are the full bench experience.
What does the “Composition of motions” lab practice?
Tune parameters and match readouts to the “Composition of motions” relations — useful for prep and demos.
Is force always along velocity?
No. Net force aligns with acceleration; velocity can point elsewhere.
How do graphs show uniform vs accelerated motion?
Uniform: constant x–t slope. Constant a: straight v–t with slope a.