# If an object is moving at #0 m/s# and accelerates to #60 m/s# over 8 seconds, what was the object's rate of acceleration?

##### 1 Answer

The actual calculation is very short (at the end) but I have also included some teaching (at the beginning) which is a bit long.

#### Explanation:

First lets understand what acceleration is:

At each second that passes you are going faster than the previous second. Have a look at this example:

At time 0 you are not moving. By the time the first second is reached you are travelling at 2 metres in 1 second ( 2m/s

The next second your speed has increased by a further 2 m/s. So you are travelling as

Next you have

Next you have

And so on. So the increase is

Written as:

..................................................

Lets consider the units of measurement (in brown)

velocity

Notice that the units for time can be cancelled out getting rid of the 'squared'. So we end up with just

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

But this is in