Answer
The answer to this question is
![11.67 s](https://img.qammunity.org/2019/formulas/physics/middle-school/mnwicjfy1y1hh5ewvg07z1g2gwnaosnf2z.png)
Step-by-step explanation
As we know that accelartion is the rate of change of velocity. So, it can be write as
![a = (V_f -V_i) /t](https://img.qammunity.org/2019/formulas/physics/middle-school/au4pctyb5et7c36uuxmyyp60pk167ts8kd.png)
where
is the final velocity
is the initial velocity
t is the time
a is the accelartion
as we konw
![a = 3 ms^(-2)](https://img.qammunity.org/2019/formulas/physics/middle-school/o4tsgz6e7r60t23jimjtk3mxckwcd7b19x.png)
t = ?
From rest So,
= 0
Putting values
![3 = (35 - 0)/t](https://img.qammunity.org/2019/formulas/physics/middle-school/3cpj7j9gghjznskxr3pdjemdtktk2nrivw.png)
![3 = 35/t](https://img.qammunity.org/2019/formulas/physics/middle-school/vly24ngq1sepv0h9upjyes3wkwa4l1p2ah.png)
![t = 35/3](https://img.qammunity.org/2019/formulas/physics/middle-school/8ow6ab0kg4z3enfclawzjim6u1s9cdecy6.png)
![t = 11.67 s](https://img.qammunity.org/2019/formulas/physics/middle-school/7q3qatjox6x7qi6lf6quioocu0bcrymmhk.png)
So, the right answe is
![11.67 s](https://img.qammunity.org/2019/formulas/physics/middle-school/mnwicjfy1y1hh5ewvg07z1g2gwnaosnf2z.png)