Graphs of Motion

Acceleration

The rate of change of speed, read as the gradient of a speed–time graph.

EnglishAcceleration
Bahasa MelayuPecutan
中文加速度

How it is used

A motorcycle's speed rises from 10 m/s to 30 m/s in 5 s. Acceleration = (30 − 10) ÷ 5 = 20 ÷ 5 = 4 m/s².

This is the gradient of that part of the speed–time graph.

Where it shows up in SPM

In Graphs of Motion (Form 5), almost always via a speed–time graph. Paper 2 questions ask you to compute acceleration from a gradient, spot when acceleration is zero (a flat line), or recognise deceleration as a negative value.

Don't confuse it with

SpeedSpeed is how fast something moves; acceleration is how fast that speed is changing, different quantities with different units (m/s versus m/s²).
GradientAcceleration is a gradient only on a speed–time graph; a gradient on a distance–time graph is speed, not acceleration.

Open the chapter: Graphs of Motion →

Frequently asked questions

What are the units of acceleration and why?

The units are m/s² (metres per second squared). Acceleration is a change in speed (m/s) divided by time (s), so the units become (m/s) ÷ s = m/s².

Always include the squared second in your answer.

Can acceleration be zero even when the object is moving?

Yes. If the speed stays constant, say a steady 30 m/s shown as a flat horizontal line on the speed–time graph, there is no change in speed, so the gradient and the acceleration are both zero even though the object keeps moving.

What does a negative acceleration mean?

It means the object is slowing down, called deceleration. For a fall from 25 m/s to 5 m/s in 4 s, acceleration = (5 − 25) ÷ 4 = −5 m/s².

The minus sign shows the speed is decreasing, not that the object moves backward.

Related terms

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