AQA · GCSE · Physics

    Course version: 8463 · Version from Sept 2016

    Students should be able to express a displacement in terms of both the…

    Full specification wording

    Distance and displacement: Students should be able to express a displacement in terms of both the magnitude and direction.

    Expressing a displacement properly means writing three things: a number, a unit and a direction.

    Checked against the AQA 8463 specification (opens in a new tab) on .

    • Point 4 of 4
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Expressing a displacement properly means writing three things: a number, a unit and a direction. Saying 8.5 km is incomplete; 8.5 km due north, or 8.5 km on a bearing of 040 degrees, is a displacement. Acceptable ways of giving the direction include a compass point, a three-figure bearing measured clockwise from north, an angle to a stated line, or simply to the right or upwards where the situation makes that unambiguous. Along a straight line a sign will do, provided the positive direction has been stated. When the displacement is taken from a scale diagram, measure the straight line from start to finish with a ruler, convert it with the scale, then measure the angle with a protractor. A magnitude on its own always loses the direction mark.

    What earns the marks

    • The magnitude of the displacement with its unit.
    • A direction given as a bearing, a compass point or an angle to a stated line.
    • Measuring the straight line from start to finish rather than along the path.
    • Applying the scale of the drawing correctly.

    Common mistakes and how to put them right

    • Giving the magnitude only and stopping there.

    • Describing the direction as forwards when no reference direction has been stated.

    • Measuring the route rather than the straight line when using a scale drawing.

    • Quoting a bearing measured anticlockwise or from the wrong reference direction.

    Exam tips

    • Write the direction in the same breath as the number; a displacement without it is half an answer.
    • Use the scale printed on the figure rather than assuming one.

    Try the lesson

    The start of the Distance and displacement: Students should be able to express a displacement in terms of both the magnitude and direction. lesson, made from checked teaching notes for this specification point.

    Have a go first

    Which of these is a complete way to express a displacement?

    Listen

    Expressing a displacement properly means writing three things: a number, a unit and a direction. Saying 8.5 km is incomplete; 8.5 km due north, or 8.5 km on a bearing of 040 degrees, is a displacement. Acceptable ways of giving the direction include a compass point, a three-figure bearing measured clockwise from north, an angle to a stated line, or simply to the right or upwards where the situation makes that unambiguous. Along a straight line a sign will do, provided the positive direction has been stated. When the displacement is taken from a scale diagram, measure the straight line from start to finish with a ruler, convert it with the scale, then measure the angle with a protractor. A magnitude on its own always loses the direction mark. A strong answer earns marks for these points. the magnitude of the displacement with its unit. a direction given as a bearing, a compass point or an angle to a stated line. measuring the straight line from start to finish rather than along the path. applying the scale of the drawing correctly. Exam tip: Write the direction in the same breath as the number; a displacement without it is half an answer.

    See it

    A flowchart titled Displacement splits into two branches. The first branch is Magnitude with unit. The second branch is Direction, which splits into five options: Compass point; Three-figure bearing clockwise from north; Angle to a stated line; Right or upwards where unambiguous; and Sign along a straight line with positive direction stated. Both the Magnitude with unit branch and the Direction branch lead to a final node labelled Complete displacement.
    It shows that a complete displacement needs both a magnitude with its unit and a direction, and lists the acceptable ways of giving that direction.

    Key words

    Say what each word means before you turn the card.

    magnitude and direction

    Try answering aloud or in your head before turning the card.

    bearings

    Try answering aloud or in your head before turning the card.

    scale diagrams

    Try answering aloud or in your head before turning the card.

    stating a displacement

    Try answering aloud or in your head before turning the card.

    See every definition
    magnitude and direction
    A displacement is expressed in terms of both of these, and a magnitude on its own always loses the direction mark.
    bearings
    A three-figure bearing is measured clockwise from north and is one acceptable way of giving the direction.
    scale diagrams
    From one of these, the straight line from start to finish is measured with a ruler, converted with the scale, then the angle is measured with a protractor.
    stating a displacement
    This means writing three things: a number, a unit and a direction, such as a compass point, a bearing or an angle to a stated line.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A flowchart titled Displacement splits into two branches. The first branch is Magnitude with unit. The second branch is Direction, which splits into five options: Compass point; Three-figure bearing clockwise from north; Angle to a stated line; Right or upwards where unambiguous; and Sign along a straight line with positive direction stated. Both the Magnitude with unit branch and the Direction branch lead to a final node labelled Complete displacement.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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