Chase and encounter
Two objects on one line: catch-up when x₁ = x₂ + Δx₀; equal velocities give extremal gap; braking locks displacement (no reversal).
Kinematics foundations (senior)Uniform / accelerated motion, chase, free fall.
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Chase and encounter
Chase: a faster car catches a slower one; minimum distance at equal speeds. This “Chase and encounter” page is an MVP interactive sketch — formulas, controls, and live readouts in the browser; a fuller bench may follow.
Chase: a faster car catches a slower one; minimum distance at equal speeds.
Key formulas
x_A=x_{A0}+v_Atx_B=x_{B0}+v_Bt\Delta x_0=x_{B0}-x_{A0}
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
- Chase and encounter: Chase: a faster car catches a slower one; minimum distance at equal speeds.
- Classroom focus: equal velocities give extremal gap.
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 “Chase and encounter” lab practice?
Tune parameters and match readouts to the “Chase and encounter” 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.