大象传媒

Speed and acceleration

When we talk about , we could be talking about two different things:

  • average speed 鈥 the speed of an object measured over the whole journey
  • instantaneous speed 鈥 the speed of an object at the very instant of being measured

is defined by this mathematical relationship:

\(average\,speed = \frac{{total\,distance\,travelled}}{{total\,time\,taken}}\)

Average speed is measured in metres per second \(m\, s^{-1}\).

How to measure average speed:

  • measure the distance between two markers
  • record the time taken to travel between the markers
  • divide the distance by the time taken

Calculating average speed

Instantaneous speed is the speed of an object at a particular moment in time. Instantaneous speed is measured in metres per second \(m\, s^{-1}\).

The instantaneous speed of an object can be calculated if we know the travelled in a very short period of time.

We might think about the speedometer on a car or most kinds of speed cameras.

An object is travelling at a steady or when its instantaneous speed has the same value throughout its journey. For example, if a car is travelling at a constant speed the reading on the car's speedometer does not change. The speedometer reads the speed of the car at each moment in throughout the car's journey. In cases like this, where the motion involves constant speed, the instantaneous speed of the object can be worked out using the relationship:

\(speed = \frac{distance}{time}\)