Elastic Collision along One Line

Find final velocities for isolated collision wey perfectly elastic.

Your numbers

Final velocity for A

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Ideal classical model with SI units. Check sign conventions and assumptions; e no be certified engineering design calculation.

Formula

Use vₐ = [(mₐ−mᵦ)uₐ+2mᵦuᵦ]/(mₐ+mᵦ) and vᵦ = [2mₐuₐ+(mᵦ−mₐ)uᵦ]/(mₐ+mᵦ). m mean mass, u mean initial signed velocity, and v mean final signed velocity; subscripts dey distinguish di bodies. Use consistent mass and velocity units.

Find final velocities for isolated collision wey perfectly elastic.

Example wey show the calculation

Mass for object A (kg): 2
Mass for object B (kg): 2
Starting velocity for A (m/s): 5
Starting velocity for B (m/s): 0

Final velocity for A: 0 m/s
Final velocity for B: 5 m/s

Where e fit work and limits

Ideal classical model with SI units. Check sign conventions and assumptions; e no be certified engineering design calculation.

We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.

Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.

Version of di formula: c42d356aa4ab · Example don get check: 2026-10-30

Method