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Physics Middle school

What is the difference between speed and velocity?

Written and reviewed by Studoli tutors · Updated

Short answer

Speed tells you how fast something is moving. Velocity tells you how fast and in which direction. Speed is a scalar quantity (size only) and velocity is a vector quantity (size and direction). A car going round a roundabout at a steady 30 km/h has a constant speed but a changing velocity.

Step by step

  1. Speed = distance ÷ time, measured in m/s or km/h.
  2. Velocity = displacement ÷ time, where displacement is the straight-line distance in a given direction.
  3. Two objects with the same speed have different velocities if they move in different directions.
  4. A change in velocity, even only in direction, means the object is accelerating.

Worked example

A runner completes one 400 m lap of a track in 80 s, finishing where she started.

  • Average speed: 400 ÷ 80 = 5 m/s
  • Displacement: 0 m, because she ends at the start
  • Average velocity: 0 ÷ 80 = 0 m/s

Common mistakes

  • Using the words speed and velocity as if they mean the same thing in an exam answer.
  • Forgetting to give a direction when stating a velocity, for example 12 m/s north.
  • Thinking constant speed means no acceleration when the direction changes.

Useful for:GCSEKS3BECECheckpoint

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