Physics › Section B · Kinematics in one and two dimensions › Topic B.9

Addition of velocities

A boat crossing a river, a plane in a crosswind and rain streaking past a car window all raise the same question: moving relative to what? Velocities measured from different viewpoints combine by vector addition, and that one rule settles every case.

In this topic

  • Velocity depends on the viewpoint
  • The addition rule and its subscripts
  • Velocities along one line
  • Worked example: overtaking a lorry
  • A boat crossing a river
  • Worked example: a ferry and a current
  • Aircraft and wind
  • Worked example: a crosswind
  • Rain seen from a moving bicycle
  • Inertial frames and their limits
  • Common mistakes to avoid
  • Key takeaways

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