The answer to this question is [tex]11.67 s[/tex]
As we know that accelartion is the rate of change of velocity. So, it can be write as
[tex]a = (V_f -V_i) /t[/tex]
where
[tex]V_f[/tex] is the final velocity
[tex]V_i[/tex] is the initial velocity
t is the time
a is the accelartion
as we konw
[tex]a = 3 ms^{-2}[/tex]
t = ?
From rest So,
[tex]V_i[/tex] = 0
[tex]V_f = 35 ms^{-1}[/tex]
Putting values
[tex]3 = (35 - 0)/t[/tex]
[tex]3 = 35/t[/tex]
[tex]t = 35/3[/tex]
[tex]t = 11.67 s[/tex]
So, the right answe is [tex]11.67 s[/tex]