Answer:
The maximum velocity is
![a_(max) = 1.96 m/s^2](https://img.qammunity.org/2021/formulas/physics/college/yi4johp2e6f6xc04x151vggod7jv01wqq6.png)
Step-by-step explanation:
From the question we are told that
The coefficient of static friction is
![\mu = 0.20](https://img.qammunity.org/2021/formulas/physics/college/ktmwzecpic560lor0wmortn3gksbiggjl8.png)
Generally the maximum acceleration can be mathematically represented as
![a_(max) = \mu * g](https://img.qammunity.org/2021/formulas/physics/college/c3x46nht6yjhjbgaosdjs1td5nuwo8035b.png)
Where g is the acceleration due to gravity and the value is
![g = 9.8 \ m/s^2](https://img.qammunity.org/2021/formulas/physics/college/uy788t7nass6zmgbf6wolf55mmsoh870il.png)
substituting vlues
![a_(max) = 0.20 *9.80](https://img.qammunity.org/2021/formulas/physics/college/whqg1tau14uqg6y0qale3pq4d3hqei2gbb.png)
![a_(max) = 1.96 m/s^2](https://img.qammunity.org/2021/formulas/physics/college/yi4johp2e6f6xc04x151vggod7jv01wqq6.png)