Calculating Uniform Acceleration (Edexcel IGCSE Physics (Modular))

Revision Note

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Ashika

Written by: Ashika

Reviewed by: Caroline Carroll

Calculating uniform acceleration

  • Uniform acceleration is constant acceleration

  • The following equation applies to objects moving with uniform acceleration:

(final speed)2 = (initial speed)2 + (2 × acceleration × distance moved)

v2 = u2 + 2as

  • Where:

    • s = distance moved in metres (m)

    • u = initial speed in metres per second (m/s)

    • v = final speed in metres per second (m/s)

    • a = acceleration in metres per second squared (m/s2)

  • This equation is used to calculate quantities such as initial or final speed, uniform acceleration, or distance moved in cases where the time taken is not known

Examiner Tips and Tricks

This is an example of an equation that cannot be rearranged with a formula triangle. It is really important that you learn to rearrange equations without the help of a triangle for your exam. 

To rearrange any equation, follow these simple rules:

  • What ever you do to the equation, you must do to both sides

  • To undo an operation, perform the opposite operation

    • To undo a subtraction, you must add (and vice versa)

    • To undo a multiplication, you must divide (and vice versa)

    • To undo a square, you must square root (and vice versa)

Always show your working out, there is usually a mark awarded for rearranging an equation in an exam question. 

Worked Example

A car accelerates steadily from rest at a rate of 2.5 m/s2 up to a speed of 16 m/s.

Calculate how far the car moves during this period of acceleration.

Answer:

Step 1: List the known quantities

  • Initial speed, u space equals space 0 space straight m divided by straight s 

    • Because the car starts from rest

  • Final speed, v space equals space 16 space straight m divided by straight s

  • Acceleration, a space equals space 2.5 space straight m divided by straight s 

Step 2: Identify and write down the equation to use

  • The question says that the car 'accelerates steadily' - so the equation for uniform acceleration can be used:

v squared space equals space u squared space plus space 2 a s

Step 3: Rearrange the equation to work out the distance moved

  • Subtract u squared from each side

v squared space minus space u squared space equals space 2 a s

  • Divide both sides by 2 a

s space equals space fraction numerator v squared space minus space u squared over denominator 2 a end fraction

Step 4: Substitute known quantities into the equation and simplify where possible

s space equals space fraction numerator 16 squared space minus space 0 squared over denominator 2 space cross times space 2.5 end fraction

s space equals fraction numerator space 256 over denominator 5 end fraction

s space equals space 51 space straight m

Examiner Tips and Tricks

Writing out your list of known quantities and labelling the quantity you need to calculate is really good exam technique. It helps you determine the correct equation to use, and sometimes examiners award credit for showing this working.

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Ashika

Author: Ashika

Expertise: Physics Project Lead

Ashika graduated with a first-class Physics degree from Manchester University and, having worked as a software engineer, focused on Physics education, creating engaging content to help students across all levels. Now an experienced GCSE and A Level Physics and Maths tutor, Ashika helps to grow and improve our Physics resources.

Caroline Carroll

Author: Caroline Carroll

Expertise: Physics Subject Lead

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about creating high-quality resources to help students achieve their full potential.