Define and calculate acceleration
What is acceleration?
The basic idea
In physics, acceleration measures the rate at which an object’s velocity changes over time. Note that a change in speed does not simply mean ‘going faster’: it can also mean slowing down, or even changing direction without changing pace (as when cornering at a constant speed).
Three situations involving acceleration
- A car pulling away from a green traffic light: it accelerates; its speed increases.
- A car braking before a stop sign: it decelerates; its speed decreases (this is known as negative acceleration, or the acceleration vector is opposite to the direction of motion).
- A merry-go-round turning at a constant speed: the value of the speed does not change, but its direction is constantly changing, so there is indeed acceleration (towards the centre).
A common pitfall to avoid
Many pupils think that ‘constant speed’ means ‘zero acceleration’. This is only true if the path is a straight line. As soon as there is a bend, even at constant speed, there is acceleration.
Unit of acceleration
Acceleration is measured in metres per second squared (m/s²). This means ‘by how many m/s the speed changes every second’.
| Situation | Initial speed | Final speed | Duration | Acceleration |
|---|---|---|---|---|
| Car pulling away | 0 m/s | 20 m/s | 10 s | 2 m/s² |
| Free fall (approx.) | 0 m/s | 9.8 m/s | 1 s | 9.8 m/s² |
Remember that acceleration is a quantity that relates speed and time: it answers the question “how fast is the speed changing?”.

