Final answer:
The particle achieves its maximum positive acceleration at t = 1 s with an acceleration of 10 m/s², as this is the earliest and greatest positive value provided for acceleration.
Step-by-step explanation:
To determine when the particle achieves its maximum positive acceleration, we must examine the given information about the particle's motion and acceleration over time. From the details provided, we can infer that the particle starts from rest, accelerates in a positive direction until it reaches its maximum velocity at t = 2 s (where acceleration is zero), and then experiences negative acceleration.
According to the given acceleration values at specific times, the maximum positive acceleration occurs at the earliest time provided, which is t = 1 s with an acceleration of a(1 s) = 10 m/s². This is the greatest positive value given for acceleration in the options provided. It matches the condition where both velocity and acceleration are in the same direction, indicating an increase in speed.