How to find average velocity from a v-t graph with non-constant acceleration

[assuredlonewo]

How does one get the average velocity from a velocity vs. time graph, when acceleration is not constant.

 

[Studiot]

If you have a velocity -time graph the area under it is the distance traveled between t₁ and t₂

The average velocity is
$${\rm{average velocity = }}\frac{{{\rm{total distance}}}}{{{\rm{total time}}}}{\rm{ = }}\frac{{{\rm{Area under graph between }}{{\rm{t}}_{\rm{1}}}{\rm{and }}{{\rm{t}}_{\rm{2}}}}}{{{{\rm{t}}_{\rm{2}}}{\rm{ - }}{{\rm{t}}_{\rm{1}}}}}$$