AQA GCSE Acceleration (Combined Science)

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Acceleration

Acceleration is defined as the rate of change of velocity. 

Acceleration is a vector quantity, so it has both a magnitude and direction.

Speeding up and Slowing down

Although the definition for acceleration is the rate of change of velocity, this can be hard to understand. 

A more simple way to understand acceleration is that:

1. Object speeds up it is acceleration

2.Object slows down it is decelerating.

The above defintions are simplifications, so they do have some limitations, but they allow you to understand the topic more easily.

Formulae triangle for calculating acceleration using rate of change of velocity.

Example Calculation

1.A car is moving along a road in a forwards direction at 10m/s. The car then does an emergency brake and comes to rest 2.5 seconds later.

1a. Calculate the acceleration of the car

Acceleration = Change in velocity/time

Initial velocity =10m/s

Final velocity = 0m/s as the car comes to a rest

Change in velocity = Final velocity – Initial velocity

Change in velocity = 0m/s – 10m/s = -10m/s

Acceleration = -10/2.5 = -4m/s2

1b. Calculate the deceleration of the car

Deceleration does not need a negative sign, so the deceleration of the car would be 4m/s2

2.A person starts to run from rest, increasing their velocity over a period of 3 seconds to 5m/s. Calculate the person’s acceleration

Acceleration = change in velocity/time

Change in velocity = Final velocity – Initial velocity

Final velocity = 5m/s

Initial velocity 0m/s as runner starts from rest.

Change in velocity = 5m/s – 0m/s = 5m/s

Acceleration = 5/3 = 1.7m/s2

Typical acceleration values

ActivityAcceleration (m/s2)
Baby crawling0.1
Person walking0.5
Person cycling1.0
Aeroplane taking off3.0

Practice Questions

1.State the definition of acceleration.

2.If a car increases its velocity from 10 m/s to 30 m/s in 5 seconds, what is its acceleration?

3.What does a negative acceleration indicate?

4.If an object moves with constant velocity, what is its acceleration?

5.A car decelerates from 25 m/s to 5 m/s in 4 seconds. What is its acceleration?

6.A ball is dropped from a height on Earth. What is its initial acceleration?

7.If an object’s acceleration is zero, what can be said about its motion?

 

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