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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?”.