Final answer:
It would take 4.0 seconds for the vehicle to accelerate from 8.0 m/s to 20.0 m/s with an acceleration of 3.0 m/s².
Step-by-step explanation:
To find the time required for the vehicle to accelerate from 8.0 m/s to 20.0 m/s with an acceleration of 3.0 m/s², we can use the formula:
time = (final velocity - initial velocity) / acceleration
Substituting the values:
time = (20.0 m/s - 8.0 m/s) / 3.0 m/s²
time = 12.0 m/s / 3.0 m/s²
time = 4.0 s
Therefore, it would take 4.0 seconds for the vehicle to accelerate from 8.0 m/s to 20.0 m/s with an acceleration of 3.0 m/s².