Acceleration (Edexcel IGCSE Physics)

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Acceleration

Rate of change in velocity

  • Acceleration is defined as the rate of change in velocity

    • In other words, it describes how much an object's velocity changes every second

  • The equation below is used to calculate the average acceleration of an object:

acceleration space equals fraction numerator space change space in space velocity over denominator time space taken end fraction

a space equals space fraction numerator increment v over denominator t end fraction

  • Where:

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

    • increment v = change in velocity in metres per second (m/s)

    • t = time taken in seconds (s)

Formula triangle for acceleration, change in velocity and time

Acceleration Formula Triangle, downloadable IGCSE & GCSE Physics revision notes

To use an equation triangle, simply cover up the value you wish to calculate and the structure of the equation will be revealed

 

  • The change in velocity is found by the difference between the initial and final velocity:

change space in space velocity space equals space final space velocity space minus space initial space velocity

increment v space equals space v space minus space u

  • Where:

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

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

  • Therefore, the acceleration, or the rate of change in velocity, equation can be written as:

a space equals space fraction numerator open parentheses v space minus space u close parentheses over denominator t end fraction

Speeding up and slowing down

  • An object that speeds up is accelerating

  • An object that slows down is decelerating

  • The acceleration of an object can be positive or negative, depending on whether the object is speeding up or slowing down

    • If an object is speeding up, its acceleration is positive

    • If an object is slowing down, its acceleration is negative (also known as deceleration)

Examples of acceleration and deceleration

Acceleration Examples, downloadable IGCSE & GCSE Physics revision notes

A rocket speeding up (accelerating) and a car slowing down (decelerating)

Worked Example

A Japanese bullet train decelerates at a constant rate in a straight line. The velocity of the train decreases from 50 m/s to 42 m/s in 30 seconds.

(a) Calculate the change in velocity of the train.

(b) Calculate the deceleration of the train, and explain how your answer shows the train is slowing down.

 

Answer:

Part (a)

Step 1: List the known quantities

  • Initial velocity, u space equals space 50 space straight m divided by straight s 

    • Final velocity, v space equals space 42 space straight m divided by straight s

Step 2: Write the relevant equation

increment v space equals space v space minus space u

Step 3: Substitute values for final and initial velocity

increment v space equals space 42 space minus space 50

increment v space equals space minus 8 space straight m divided by straight s

Part (b)

Step 1: List the known quantities

  • Change in velocity, increment v space equals space minus 8 space straight m divided by straight s 

    • Time taken, t space equals space 30 space straight s

Step 2: Write the relevant equation

a space equals space fraction numerator open parentheses v space minus space u close parentheses over denominator t end fraction space equals space fraction numerator increment v over denominator t end fraction

Step 3: Substitute the values for change in velocity and time

a space equals space fraction numerator negative 8 over denominator 30 end fraction

a space equals space minus 0.27 space straight m divided by straight s squared

Step 4: Interpret the value for deceleration

  • The answer is negative, which indicates the train is slowing down

Examiner Tips and Tricks

Remember, the units for acceleration are metres per second squared, m/s2

In other words, acceleration measures how much the velocity (in m/s) changes every second, m/s/s.

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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.