Given the question of determining the correct equation to solve for acceleration, we should review the standard equations of motion and identify the one that correctly expresses acceleration in terms of the change in velocity and time.
To find acceleration [tex]\(a\)[/tex], we typically use the relationship between velocity and acceleration.
Starting with the basic relationship:
[tex]\[ \Delta v = a t \][/tex]
where:
- [tex]\(\Delta v\)[/tex] is the change in velocity
- [tex]\(a\)[/tex] is the acceleration
- [tex]\(t\)[/tex] is the time
To solve for [tex]\(a\)[/tex], we rearrange this equation as follows:
[tex]\[ a = \frac{\Delta v}{t} \][/tex]
This is the correct equation that relates acceleration to the change in velocity and time.
Thus, the correct equation is:
[tex]\[ a = \frac{\Delta v}{t} \][/tex]
