To find acceleration using time (t), distance (d), and initial velocity (v₀), you can use the following equation derived from the equations of motion:
d = v₀t + (1/2)at²
Where:
- d is the distance traveled.
- v₀ is the initial velocity.
- t is the time taken.
- a is the acceleration.
To isolate the acceleration (a), you can rearrange the equation as follows:
2d = 2v₀t + at² 2d - 2v₀t = at² 2d - 2v₀t