Acceleration (Cambridge (CIE) IGCSE Combined Science): Revision Note

Exam code: 0653

Acceleration

  • An object can change its speed by:

    • speeding up

    • slowing down

  • When an object speeds up, it is accelerating

  • When an object slows down, it is decelerating

Calculating acceleration

Extended Tier Only

  • When an object moves in a straight line, its acceleration can be defined as:

The change in speed per unit time

  • In other words, acceleration is the rate of change of speed

  • The acceleration of an object often changes throughout an object's journey

  • Therefore, it is often useful to know the average acceleration

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

  • Where:

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

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

    • increment t = time taken in seconds (s)

Formula triangle for acceleration, change in speed and change in time

1-2-2-acceleration-triangle-cie-igcse-23-rn

To use a formula triangle, simply cover up the quantity you wish calculate and the structure of the equation is revealed

 Change in speed

  • The change in speed is the difference between the initial and final speed:

increment v space equals space v space minus space u

  • Where:

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

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

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

  • If an object speeds up, its acceleration is positive

  • If an object slows down, its acceleration is negative

  • Acceleration is positive if it is in the same direction as the motion of the object

Acceleration of different objects

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 speed of the train decreases from 50 m/s to 42 m/s in 30 seconds.

(a) Calculate the change in speed 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 speed, u space equals space 50 space straight m divided by straight s 

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

Step 2: Write the equation for change in speed

increment v space equals space v space minus space u

Step 3: Substitute values for final and initial speed

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

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

Step 2: Write the equation for acceleration

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

Step 3: Substitute the values for change in speed 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 speed (m/s) changes every second, so the units are metres per second per second (m/s/s).

You may see the term "velocity" also used to describe speed. Speed means how fast something is going (e.g. 5 m/s), whereas velocity means how fast something is going and in which direction (e.g 5 m/s in a north direction). You don't need to know about velocity for IGCSE GCSE Combined Science.

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