OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    (c) motion of objects falling in a uniform gravitational field in the…

    Full specification wording

    Dynamics: (c) motion of objects falling in a uniform gravitational field in the presence of drag

    When an object falls in a uniform gravitational field with drag present, its acceleration is not constant.

    Checked against the OCR H556 specification (opens in a new tab) on .

    • Point 9 of 10
    • 2 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    When an object falls in a uniform gravitational field with drag present, its acceleration is not constant. At release, speed is zero so drag is zero and the object accelerates at g. As speed rises, drag increases, reducing the resultant force and therefore the acceleration. The object reaches terminal velocity, a constant maximum speed, when drag equals weight and the resultant force is zero. Before terminal velocity, the object accelerates at a continuously decreasing rate. A velocity–time graph shows a curve with its maximum gradient at t=0, which then continuously flattens as terminal velocity is approached. The same analysis applies to an object projected upwards, where weight and drag both act downwards.

    What earns the marks

    • Initially the object accelerates at g because drag is zero at zero speed.
    • As speed increases, drag increases and the resultant force decreases, so acceleration decreases.
    • Terminal velocity is reached when drag equals weight, so resultant force and acceleration are zero.
    • At terminal velocity the object moves at constant speed in a straight line.
    • A velocity–time graph for the fall has its steepest gradient at t=0 and continuously flattens until it becomes horizontal at terminal velocity.

    Common mistakes and how to put them right

    • Thinking acceleration stays equal to g throughout the fall.

      Put it right by noting that drag reduces the resultant force as speed increases.

    • Believing the object stops accelerating only when it hits the ground.

      Put it right by identifying terminal velocity as the point where drag equals weight.

    • Thinking the velocity-time graph steepens initially.

      Put it right by remembering the maximum acceleration, and thus maximum gradient, is at the instant of release.

    Exam tips

    • Sketch the velocity–time graph starting with a steep gradient that continuously flattens to a horizontal section to show terminal velocity.
    • State the condition for terminal velocity as drag equals weight, giving zero resultant force.
    • Use the terms 'resultant force' and 'acceleration' together to explain the changing motion.

    Try the lesson

    The start of the Dynamics: (c) motion of objects falling in a uniform gravitational field in the presence of drag lesson, made from checked teaching notes for this specification point.

    Listen

    When an object falls in a uniform gravitational field with drag present, its acceleration is not constant. At release, speed is zero so drag is zero and the object accelerates at g. As speed rises, drag increases, reducing the resultant force and therefore the acceleration. The object reaches terminal velocity, a constant maximum speed, when drag equals weight and the resultant force is zero. Before terminal velocity, the object accelerates at a continuously decreasing rate. A velocity–time graph shows a curve with its maximum gradient at t=0, which then continuously flattens as terminal velocity is approached. The same analysis applies to an object projected upwards, where weight and drag both act downwards. A strong answer earns marks for these points. Initially the object accelerates at g because drag is zero at zero speed. As speed increases, drag increases and the resultant force decreases, so acceleration decreases. Terminal velocity is reached when drag equals weight, so resultant force and acceleration are zero. At terminal velocity the object moves at constant speed in a straight line. A common slip: Thinking acceleration stays equal to g throughout the fall. Instead, noting that drag reduces the resultant force as speed increases. Exam tip: Sketch the velocity–time graph starting with a steep gradient that continuously flattens to a horizontal section to show terminal velocity.

    See it

    A vertical flowchart of nine boxes connected by downward arrows. The first box reads 'Object released: speed zero, drag zero' and leads to 'Acceleration equals g'. That leads to 'Speed increases', then 'Drag increases', then 'Resultant force decreases', then 'Acceleration decreases', then 'Drag equals weight', then 'Resultant force zero, acceleration zero', and finally 'Terminal velocity: constant maximum speed'.
    It shows how increasing speed raises drag, reducing the resultant force and acceleration until drag equals weight and terminal velocity is reached.

    Key words

    Say what each word means before you turn the card.

    Terminal velocity

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

    Free fall with drag

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

    See every definition
    Terminal velocity
    A constant maximum speed reached when drag equals weight and the resultant force is zero.
    Free fall with drag
    Motion of an object falling in a uniform gravitational field in the presence of drag, where acceleration is not constant.

    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 vertical flowchart of nine boxes connected by downward arrows. The first box reads 'Object released: speed zero, drag zero' and leads to 'Acceleration equals g'. That leads to 'Speed increases', then 'Drag increases', then 'Resultant force decreases', then 'Acceleration decreases', then 'Drag equals weight', then 'Resultant force zero, acceleration zero', and finally 'Terminal velocity: constant maximum speed'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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