AQA · GCSE · Physics

    Course version: 8463 · Version from Sept 2016

    (HT only) estimate the forces involved in the deceleration of road…

    Full specification wording

    Factors affecting braking distance 2: (HT only) estimate the forces involved in the deceleration of road vehicles in typical situations on a public road.

    The method uses F = m × a, where a is the deceleration.

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

    • Point 5 of 5
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    The method uses F = m × a, where a is the deceleration. The estimate should be given to a reasonable number of significant figures and the direction of the force should be opposite to the motion. This skill is assessed by checking that the method is physically correct and the numerical answer is plausible for a public-road situation.

    What earns the marks

    • Select realistic values for the mass of the vehicle, its initial speed and the time taken to stop, for example a car of mass 1200 kg stopping from 13 m/s in 2.0 s.
    • Calculate the deceleration using a = Δv ÷ t, ensuring the change in velocity is in m/s and the time is in s.
    • Substitute the mass and deceleration into F = m × a to estimate the resultant force, and state the unit as N.
    • Comment on whether the estimated force is reasonable for the situation, and note that the force acts opposite to the direction of motion.

    Common mistakes and how to put them right

    • Using the speed in km/h directly in the calculation.

      Put it right by converting to m/s before finding the deceleration.

    • Forgetting to divide by the stopping time and using the change in velocity as the deceleration.

      Put it right by applying a = Δv ÷ t.

    • Giving an answer with unrealistic precision, such as many decimal places.

      Put it right by rounding to a sensible number of significant figures for an estimate.

    Exam tips

    • Write down the values you choose for mass, speed and time before calculating, so the examiner can follow your estimate.
    • Show the deceleration calculation separately from the force calculation to make the method clear.
    • Check that your final force is in newtons and is plausible; a force of a few thousand newtons is typical for a car braking hard.

    Try the lesson

    The start of the Factors affecting braking distance 2: (HT only) estimate the forces involved in the deceleration of road vehicles in typical situations on a public road. lesson, made from checked teaching notes for this specification point.

    Have a go first

    Which of the following is the most reasonable estimate for the average braking force acting on a typical family car during an emergency stop on a public road?

    Listen

    The method uses F = m × a, where a is the deceleration. The estimate should be given to a reasonable number of significant figures and the direction of the force should be opposite to the motion. This skill is assessed by checking that the method is physically correct and the numerical answer is plausible for a public-road situation. A strong answer earns marks for these points. Select realistic values for the mass of the vehicle, its initial speed and the time taken to stop, for example a car of mass 1200 kg stopping from 13 m/s in 2.0 s. Calculate the deceleration using a = Δv ÷ t, ensuring the change in velocity is in m/s and the time is in s. Substitute the mass and deceleration into F = m × a to estimate the resultant force, and state the unit as N. Comment on whether the estimated force is reasonable for the situation, and note that the force acts opposite to the direction of motion. A common slip: Using the speed in km/h directly in the calculation. Instead, converting to m/s before finding the deceleration. Exam tip: Write down the values you choose for mass, speed and time before calculating, so the examiner can follow your estimate.

    See it

    A top-to-bottom flowchart with six steps. The first box says to choose realistic values for mass, initial speed and stopping time. An arrow leads to a box saying to convert speed to m/s if needed. An arrow leads to a box saying to calculate deceleration using a = Δv ÷ t. An arrow leads to a box saying to substitute mass and deceleration into F = m × a. An arrow leads to a box saying to state the force in N, acting opposite to motion. A final arrow leads to a box saying to round to sensible significant figures and check plausibility.
    The sequence of steps for estimating the resultant force on a road vehicle during deceleration.

    Put it in order

    Put these steps in the order they happen.

    1. 1. Calculate deceleration using a = Δv ÷ t
    2. 2. Convert speed to m/s if needed
    3. 3. Choose realistic values: mass, initial speed, stopping time
    4. 4. Round to sensible significant figures and check plausibility
    5. 5. State force in N, acting opposite to motion
    6. 6. Substitute mass and deceleration into F = m × a

    Key words

    Say what each word means before you turn the card.

    Estimating physical quantities

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

    Force, mass and acceleration

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

    Deceleration of vehicles

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

    Significant figures and units

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

    See every definition
    Estimating physical quantities
    Choosing sensible values for mass, initial speed and stopping time, then giving the answer to a reasonable number of significant figures.
    Force, mass and acceleration
    The resultant force is estimated by substituting the mass and the deceleration into F = m × a, with the unit stated as N.
    Deceleration of vehicles
    The change in velocity divided by the stopping time, calculated using a = Δv ÷ t with the change in velocity in m/s and the time in s.
    Significant figures and units
    An estimate should be rounded to a sensible number of significant figures, with units converted if needed and the force given in newtons.

    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-to-bottom flowchart with six steps. The first box says to choose realistic values for mass, initial speed and stopping time. An arrow leads to a box saying to convert speed to m/s if needed. An arrow leads to a box saying to calculate deceleration using a = Δv ÷ t. An arrow leads to a box saying to substitute mass and deceleration into F = m × a. An arrow leads to a box saying to state the force in N, acting opposite to motion. A final arrow leads to a box saying to round to sensible significant figures and check plausibility.
    • 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 Factors affecting braking distance 2: (HT only) estimate the forces involved in the deceleration of road vehicles in typical situations on a public road.

    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