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Forces

Vectors and scalars in motion

  • 3 things to know
  • Paper 5 (Physics)

Overview

The difference between a scalar and a vector, why distance is a scalar and displacement a vector, how velocity differs from speed, and journeys where the two disagree.

What you need to know

Answer each one before you reveal it.

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Key term

Explain the difference between a scalar and a vector, and how displacement and velocity differ from distance and speed.

Key term

What is the difference between a scalar quantity and a vector quantity?

Key term

Is distance a scalar or a vector, and why?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is the difference between a scalar quantity and a vector quantity?

    Model answer

    A scalar has size only, while a vector has both a size and a direction.

  2. 2

    Is distance a scalar or a vector, and why?

    Model answer

    A scalar, because it is only the total length of the path travelled and carries no direction.

  3. 3

    What does displacement measure?

    Model answer

    The straight-line distance from the starting point to the finishing point, together with its direction.

  4. 4

    Which of speed and velocity is the vector, and what extra information does it carry?

    Model answer

    Velocity is the vector, and it carries the direction of travel as well as the size of the speed.

  5. 5

    A runner completes exactly one lap of a 400 m track. What distance has she covered and what is her displacement?

    Model answer

    The distance is 400 m and the displacement is zero, because she finishes where she started.

  6. 6

    A student walks 30 m east and then 40 m north. What distance has she walked and what is the size of her displacement?

    Model answer

    She has walked 70 m, and her displacement is 50 m, because the two legs form a right-angled triangle with a hypotenuse of 50 m.

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