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How to Calculate Velocity

What is Velocity?

Velocity is a vector quantity — it has both magnitude (speed) and direction. Average velocity = displacement / time. Instantaneous velocity = rate of change of position at a moment. Unlike speed, velocity can be negative (opposite direction).

Step-by-Step Guide

  1. 1Average velocity: v = Δx / Δt (displacement / time)
  2. 2Acceleration: a = Δv / Δt
  3. 3Velocity with acceleration: v = v₀ + at
  4. 4Displacement: x = v₀t + ½at²

Worked Examples

Input
Start at rest, accelerate at 3 m/s² for 10s
Result
Final velocity = 30 m/s (108 km/h)
v = 0 + 3×10 = 30 m/s
Input
Travel 100m in 10s
Result
Average velocity = 10 m/s = 36 km/h
100/10 = 10 m/s

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