OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    Dynamics: (f) one- and two-dimensional motion under constant force.

    Motion under constant force involves constant acceleration, described by the equations of motion (suvat): v = u + at, s = ut + ½at², v² = u² + 2as, s = ½(u + v)t.

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

    • Point 6 of 10
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Motion under constant force involves constant acceleration, described by the equations of motion (suvat): v = u + at, s = ut + ½at², v² = u² + 2as, s = ½(u + v)t. In one dimension, motion is along a straight line; in two dimensions, motion can be split into independent perpendicular components, often horizontal and vertical. For projectile motion, horizontal acceleration is zero (constant velocity) and vertical acceleration is g downwards. For example, a ball thrown horizontally: horizontal distance x = uₓt, vertical drop y = ½gt². In MCQs, you may calculate a quantity using suvat, resolve vectors, or identify independence of components. Always define a positive direction and use consistent signs.

    What earns the marks

    • Constant force produces constant acceleration, so the suvat equations apply.
    • In one dimension, motion is along a straight line; use suvat with consistent signs.
    • In two dimensions, resolve motion into perpendicular components that are independent.
    • For projectile motion, horizontal acceleration is zero and vertical acceleration is g downwards.
    • Use suvat separately for each direction; time is common to both.
    • Define a positive direction and apply signs consistently.

    Common mistakes and how to put them right

    • Using suvat equations when acceleration is not constant.

      Put it right by checking that the force is constant before applying them.

    • Mixing up horizontal and vertical components in projectile motion.

      Put it right by treating them separately with their own suvat calculations.

    • Forgetting that vertical acceleration is g downwards and taking it as positive when upward is positive.

      Put it right by assigning signs consistently.

    • Assuming horizontal velocity changes in projectile motion.

      Put it right by recognising horizontal acceleration is zero (ignoring air resistance).

    Exam tips

    • List the suvat variables you know and the one you need before choosing an equation.
    • For two-dimensional motion, draw a diagram and resolve initial velocity into components.
    • Use the same time t for horizontal and vertical parts of projectile motion.

    Try the lesson

    The start of the Dynamics: (f) one- and two-dimensional motion under constant force. lesson, made from checked teaching notes for this specification point.

    Listen

    Motion under constant force involves constant acceleration, described by the equations of motion (suvat): v = u + at, s = ut + ½at², v² = u² + 2as, s = ½(u + v)t. In one dimension, motion is along a straight line; in two dimensions, motion can be split into independent perpendicular components, often horizontal and vertical. For projectile motion, horizontal acceleration is zero (constant velocity) and vertical acceleration is g downwards. For example, a ball thrown horizontally: horizontal distance x = uₓt, vertical drop y = ½gt². In MCQs, you may calculate a quantity using suvat, resolve vectors, or identify independence of components. Always define a positive direction and use consistent signs. A strong answer earns marks for these points. Constant force produces constant acceleration, so the suvat equations apply. In one dimension, motion is along a straight line; use suvat with consistent signs. In two dimensions, resolve motion into perpendicular components that are independent. For projectile motion, horizontal acceleration is zero and vertical acceleration is g downwards. A common slip: Using suvat equations when acceleration is not constant. Instead, checking that the force is constant before applying them. Exam tip: List the suvat variables you know and the one you need before choosing an equation.

    See it

    A top-down flowchart. The first box reads 'Constant force' and points to 'Constant acceleration', which points to 'suvat equations apply'. From there the chart branches into two boxes: 'One-dimensional motion: along a straight line' and 'Two-dimensional motion: split into perpendicular components'. The two-dimensional box branches into 'Horizontal component' and 'Vertical component'. The horizontal box points to 'Projectile: horizontal acceleration zero' and the vertical box points to 'Projectile: vertical acceleration g downwards'. Both of these point to a final box reading 'Use suvat separately for each direction; time is common to both'.
    It shows how a constant force leads to constant acceleration and the suvat equations, then splits into one-dimensional motion and two-dimensional motion whose perpendicular components are treated separately, including the projectile case.

    Key words

    Say what each word means before you turn the card.

    Constant acceleration

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    Equations of motion

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    Projectile motion

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    Vector resolution

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    See every definition
    Constant acceleration
    Constant force produces constant acceleration, so the suvat equations apply.
    Equations of motion
    The suvat equations describe motion under constant force: v = u + at, s = ut + ½at², v² = u² + 2as, s = ½(u + v)t.
    Projectile motion
    Horizontal acceleration is zero (constant velocity) and vertical acceleration is g downwards.
    Vector resolution
    In two dimensions, motion can be split into independent perpendicular components, often horizontal and vertical.

    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 'Constant force' and points to 'Constant acceleration', which points to 'suvat equations apply'. From there the chart branches into two boxes: 'One-dimensional motion: along a straight line' and 'Two-dimensional motion: split into perpendicular components'. The two-dimensional box branches into 'Horizontal component' and 'Vertical component'. The horizontal box points to 'Projectile: horizontal acceleration zero' and the vertical box points to 'Projectile: vertical acceleration g downwards'. Both of these point to a final box reading 'Use suvat separately for each direction; time is common to both'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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