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Space, Time and Motion

Scalars, vectors and their representation

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on scalars and vectors, displacement against distance, representing vectors, velocity and acceleration, accelerating at constant speed, average speed and velocity over a lap, the change in a vector and a rebounding ball, the resultant of two vectors, and free-body force diagrams for a book on a table and a block on a slope.

What you need to know

Answer each one before you reveal it.

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Key term

Classify displacement, speed, velocity and mass as scalar or vector, define displacement and velocity, and explain how displacement can be zero.

Key term

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

Key term

Classify displacement, speed, velocity and mass as scalar or vector.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

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

    Model answer

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

  2. 2

    Classify displacement, speed, velocity and mass as scalar or vector.

    Model answer

    Displacement and velocity are vectors, while speed and mass are scalars.

  3. 3

    Define displacement.

    Model answer

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

  4. 4

    Why can the displacement of a moving object be zero when the distance it has travelled is not?

    Model answer

    Distance accumulates along the whole route, but displacement depends only on the start and finish, so a closed path gives zero displacement.

  5. 5

    How is a vector represented on a scale diagram?

    Model answer

    It is drawn as an arrow whose length is proportional to the magnitude and whose direction is that of the quantity.

  6. 6

    Define velocity.

    Model answer

    Velocity is the rate of change of displacement, and it is a vector pointing in the direction of that change.

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