# How does acceleration change with time?

Jun 4, 2014

Acceleration is generally defined as this by SI standards:

$a = \frac{m}{s} ^ 2$

or meters per second squared.

If velocity is measured like so:

$v = \frac{m}{s}$

and an object is travelling, let's say, 50 meters in 5 seconds, its velocity would be 10 meters per second.

Those same variables in acceleration would make it's value 2 meters per second squared. (or meters per second, per second). Meaning for every second that passes from 0 m/s to its end velocity, the object's speed increases by 2 m/s each second until it reaches 10 m/s, which takes 5 seconds.

The quicker the time, the greater the velocity increase per second. $\frac{50}{5} ^ 2 = 2$ m/s^2

The longer the time, the smaller the increase per second.
$\frac{50}{10} ^ 2 = 0.5$ m/s^2