Question

What is the formula for finding an average acceleration vector?

Answer 1

\[\overrightarrow{a} = \frac{\overrightarrow{v}_2-\overrightarrow{v}_1}{t_2 - t_1}=\frac{\Delta \overrightarrow{v}}{\Delta t}\]

Answer 2

Dalvoron is right, but the derivation is closer to this:
\[\large\overrightarrow{a}_{avg}=\frac{\Delta\overrightarrow{v}}{\Delta t}\implies \frac{\overrightarrow{v}_f-\overrightarrow{v}_i}{t_f-t_i}\]

_f meaning final and _i meaning initial.

Answer 3

^^ what is the difference ? (except the notation)

Answer 4

there really isnt much, except for Delta implying that subtraction, and not that it is defined by it.

Answer 5

delta means increment or the change in calculus, I guess we have the same meaning here too.

Answer 6

Yeah. the issue with what dalvoron put is that it doesnt allow for:
\[\overrightarrow{a}=\frac{d\overrightarrow{v}}{dt}\]
because you cant prove implicitly that the size can be reduced if you reverse the definition of Delta.

Answer 7

Hmmm !!!!!