Here is an example of a velocity (v) vs time (t) graph with constant acceleration (a):
The formula for a is:
Final velocity is represented as vf while initial velocity is represented as vi. Our first equation of motion is this:
When can rewrite the equation with the vi being the subject of the formula:
The average velocity (vavg) can be represented in two ways:
If we equate them, we get our second equation:
Suppose we substitute the first equation into the second one, we can get this:
Or this:
If we simplify, we get our third and fourth equation:
If we make t the subject in the first equation and s the subject in the second equation, then:
If we substitute the first equation into the second one, then:
If we simplify, we get our fifth equation:
