AQA · GCSE · Combined Science

    Course version: 8464 · Version from Sept 2018

    Acceleration: acceleration, a, in metres per second squared, m/s²

    Acceleration is the rate at which velocity changes and is measured in metres per second squared, m/s².

    Checked against the AQA 8464 specification (opens in a new tab) on .

    • Point 4 of 21
    • 3 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Acceleration is the rate at which velocity changes and is measured in metres per second squared, m/s². The unit comes from dividing a velocity change in metres per second (m/s) by a time in seconds (s), giving m/s ÷ s = m/s². This means that each second, the velocity changes by the stated number of metres per second. For example, an acceleration of 3 m/s² means the velocity increases by 3 m/s every second. Because velocity is a vector, a change in direction also produces acceleration, even at constant speed. A negative value, such as −2 m/s², indicates deceleration. Always write the unit as m/s², not m/s, and include it with your numerical answer.

    What earns the marks

    • States that acceleration is measured in metres per second squared, written as m/s².
    • Explains that the unit arises from dividing a change in velocity in m/s by a time in seconds.
    • Interprets a value such as 3 m/s² as a velocity increase of 3 m/s every second.
    • Recognises that a change in direction is also an acceleration, because velocity is a vector.
    • Uses the correct unit consistently in calculations and final answers, including negative values for deceleration.

    Common mistakes and how to put them right

    • Writing the unit as m/s instead of m/s².

      Put it right by remembering that velocity is divided by time, giving an extra per second.

    • Thinking acceleration only occurs when speed changes.

      Put it right by noting that a change in direction at constant speed is also acceleration.

    • Omitting the unit or the sign from the final answer.

      Put it right by writing the value with m/s² and stating whether it is acceleration or deceleration.

    Exam tips

    • Write the unit m/s² immediately after your numerical answer to secure the unit mark.
    • If a question asks what an acceleration value means, explain it as the change in velocity each second, for example 'velocity increases by 3 m/s every second'.
    • Check whether the answer should be negative by deciding whether the object is speeding up or slowing down.

    Try the lesson

    The start of the Acceleration: acceleration, a, in metres per second squared, m/s² lesson, made from checked teaching notes for this specification point.

    Have a go first

    A student measures the acceleration of a trolley moving down a ramp. Which of the following is the correct unit for acceleration?

    Listen

    Acceleration is the rate at which velocity changes and is measured in metres per second squared, m/s². The unit comes from dividing a velocity change in metres per second (m/s) by a time in seconds (s), giving m/s ÷ s = m/s². This means that each second, the velocity changes by the stated number of metres per second. For example, an acceleration of 3 m/s² means the velocity increases by 3 m/s every second. Because velocity is a vector, a change in direction also produces acceleration, even at constant speed. A negative value, such as −2 m/s², indicates deceleration. Always write the unit as m/s², not m/s, and include it with your numerical answer. A strong answer earns marks for these points. States that acceleration is measured in metres per second squared, written as m/s². Explains that the unit arises from dividing a change in velocity in m/s by a time in seconds. Interprets a value such as 3 m/s² as a velocity increase of 3 m/s every second. Recognises that a change in direction is also an acceleration, because velocity is a vector. A common slip: Writing the unit as m/s instead of m/s². Instead, remembering that velocity is divided by time, giving an extra per second. Exam tip: Write the unit m/s² immediately after your numerical answer to secure the unit mark.

    See it

    A top-down flowchart. The first box reads 'Change in velocity in m/s' and points to a second box, 'Divide by time in seconds'. This points to a third box, 'Unit: m/s²', which points to a fourth box, 'Each second, velocity changes by the stated number of m/s'. From this fourth box three arrows lead to three final boxes: 'Positive value: acceleration', 'Negative value: deceleration', and 'Change in direction is also acceleration (velocity is a vector)'.
    It shows how the unit m/s² arises from dividing a velocity change in m/s by a time in seconds, and what a given acceleration value means, including positive, negative and direction-change cases.

    Key words

    Say what each word means before you turn the card.

    Acceleration

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

    Metres per second squared

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

    Deceleration

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

    See every definition
    Acceleration
    The rate at which velocity changes, measured in metres per second squared, m/s².
    Metres per second squared
    The unit of acceleration, written as m/s², arising from dividing a velocity change in m/s by a time in seconds.
    Deceleration
    A negative value, such as −2 m/s², indicating that the object is slowing down.

    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. The first box reads 'Change in velocity in m/s' and points to a second box, 'Divide by time in seconds'. This points to a third box, 'Unit: m/s²', which points to a fourth box, 'Each second, velocity changes by the stated number of m/s'. From this fourth box three arrows lead to three final boxes: 'Positive value: acceleration', 'Negative value: deceleration', and 'Change in direction is also acceleration (velocity is a vector)'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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