Acceleration (Edexcel IGCSE Physics)
Revision Note
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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:
Where:
= acceleration in metres per second squared (m/s2)
= change in velocity in metres per second (m/s)
= time taken in seconds (s)
Formula triangle for acceleration, change in velocity and time
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:
Where:
= final velocity in metres per second (m/s)
= initial velocity in metres per second (m/s)
Therefore, the acceleration, or the rate of change in velocity, equation can be written as:
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
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,
Final velocity,
Step 2: Write the relevant equation
Step 3: Substitute values for final and initial velocity
Part (b)
Step 1: List the known quantities
Change in velocity,
Time taken,
Step 2: Write the relevant equation
Step 3: Substitute the values for change in velocity and time
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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