AQA · A-Level · Physical Education

    Course version: 7582 · Version from Sept 2016

    Linear motion: Weight, velocity, displacement, acceleration and momentum.

    Weight is the gravitational force on a mass, calculated as W = m × g and measured in newtons (N).

    Checked against the AQA 7582 specification (opens in a new tab) on .

    • Point 4 of 7
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Weight is the gravitational force on a mass, calculated as W = m × g and measured in newtons (N). Velocity is the rate of change of displacement, v = s ÷ t, measured in metres per second (m s⁻¹) with direction. Displacement is the straight-line distance in a stated direction from start to finish, measured in metres (m). Acceleration is the rate of change of velocity, a = Δv ÷ t, measured in metres per second squared (m s⁻²). Momentum is the product of mass and velocity, p = m × v, measured in kilogram metres per second (kg m s⁻¹). All five are vectors, so each answer needs magnitude, unit and direction where appropriate.

    For example: A 70 kg runner moving at 3 m s⁻¹ north has momentum 210 kg m s⁻¹ north.

    What earns the marks

    • Defines weight as the force of gravity on a mass and gives W = m × g in newtons.
    • Defines velocity as rate of change of displacement and gives v = s ÷ t in m s⁻¹ with direction.
    • Defines displacement as distance in a stated direction and gives the unit m.
    • Defines acceleration as rate of change of velocity and gives a = Δv ÷ t in m s⁻².
    • Defines momentum as mass × velocity and gives p = m × v in kg m s⁻¹.
    • Classifies all five quantities as vectors and includes direction in answers.
    • Applies the equations to numerical data with correct substitution and units.

    Common mistakes and how to put them right

    • Confusing weight with mass.

      Put it right: Weight is a force in newtons, while mass is a scalar in kilograms.

    • Treating displacement as total distance travelled.

      Put it right: Displacement is the straight-line distance in a stated direction from start to finish.

    • Forgetting that acceleration can be negative when velocity decreases, and omitting the direction or sign.

    • Calculating momentum without direction.

      Put it right: Momentum is a vector, so a value such as 210 kg m s⁻¹ needs a stated direction.

    Exam tips

    • Underline the quantity asked for in the question and match it to the correct equation and unit.
    • For vector quantities, check that your answer includes a direction such as north, south, left or right.
    • In multiple-choice questions, reject options that use the wrong unit, for example N for momentum or kg for weight.

    Try the lesson

    The start of the Linear motion: Weight, velocity, displacement, acceleration and momentum. lesson, made from checked teaching notes for this specification point.

    Have a go first

    A gymnast has a mass of 50 kg. Taking the acceleration due to gravity as 10 m/s², what is the gymnast's weight?

    Listen

    Weight is the gravitational force on a mass, calculated as W = m × g and measured in newtons (N). Velocity is the rate of change of displacement, v = s ÷ t, measured in metres per second (m s⁻¹) with direction. Displacement is the straight-line distance in a stated direction from start to finish, measured in metres (m). Acceleration is the rate of change of velocity, a = Δv ÷ t, measured in metres per second squared (m s⁻²). Momentum is the product of mass and velocity, p = m × v, measured in kilogram metres per second (kg m s⁻¹). All five are vectors, so each answer needs magnitude, unit and direction where appropriate. For example, a 70 kg runner moving at 3 m s⁻¹ north has momentum 210 kg m s⁻¹ north. A strong answer earns marks for these points. Defines weight as the force of gravity on a mass and gives W = m × g in newtons. Defines velocity as rate of change of displacement and gives v = s ÷ t in m s⁻¹ with direction. Defines displacement as distance in a stated direction and gives the unit m. Defines acceleration as rate of change of velocity and gives a = Δv ÷ t in m s⁻². Exam tip: Underline the quantity asked for in the question and match it to the correct equation and unit.

    See it

    A top-down flowchart with five nodes on the left, each naming one quantity with its equation and unit: Weight (W = m × g, newtons), Velocity (v = s ÷ t, m s⁻¹ with direction), Displacement (straight-line distance in a stated direction, m), Acceleration (a = Δv ÷ t, m s⁻²) and Momentum (p = m × v, kg m s⁻¹). Arrows from all five lead to a single node reading that all five are vectors, so each answer needs magnitude, unit and direction.
    Shows the five quantities with their equations and units, all feeding into the point that each is a vector needing magnitude, unit and direction.

    Key words

    Say what each word means before you turn the card.

    Weight

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

    Velocity

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

    Displacement

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

    Momentum

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

    See every definition
    Weight
    The gravitational force on a mass, calculated as W = m × g and measured in newtons (N).
    Velocity
    The rate of change of displacement, v = s ÷ t, measured in metres per second (m s⁻¹) with direction.
    Displacement
    The straight-line distance in a stated direction from start to finish, measured in metres (m).
    Momentum
    The product of mass and velocity, p = m × v, measured in kilogram metres per second (kg m s⁻¹).

    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 top-down flowchart with five nodes on the left, each naming one quantity with its equation and unit: Weight (W = m × g, newtons), Velocity (v = s ÷ t, m s⁻¹ with direction), Displacement (straight-line distance in a stated direction, m), Acceleration (a = Δv ÷ t, m s⁻²) and Momentum (p = m × v, kg m s⁻¹). Arrows from all five lead to a single node reading that all five are vectors, so each answer needs magnitude, unit and direction.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

    There is more to this lesson

    The full lesson goes on to check your understanding and help you earn the marks. Create a free account to carry on, with your progress saved.

    Carry on with the full lesson

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge

    Test your understanding of Linear motion: Weight, velocity, displacement, acceleration and momentum.

    Active recall beats re-reading. Take an instant quiz now to test what you’ve learned and lock it into long-term memory.

    Take topic quiz

    A week of Premium from your first lesson · Then the free plan continues · No card, no charge