Final answer:
The acceleration during the first five minutes is 0.067 m/s².
Step-by-step explanation:
The acceleration during the first five minutes can be calculated using the equation:
acceleration = (change in velocity) / (time)
In this case, the object starts from rest and acquires a velocity of 20.0 m/s in 5.0 minutes. So, the change in velocity is 20.0 m/s and the time is 5.0 minutes. Converting the time to seconds, we have 5.0 minutes = 5.0 * 60 seconds = 300 seconds.
Therefore, the acceleration during the first five minutes is:
acceleration = 20.0 m/s / 300 s = 0.067 m/s²