Step by step answer:
Use this formula: [tex]v^{2}-v_{0}^{2} = 2aS[/tex]
Maximum speed: [tex]v = 33 m/s[/tex]
Started at rest: [tex]v_{0}=0[/tex]
Constant acceleration: [tex]a = 3.0 m/s^{2}[/tex]
So we can calculate [tex]S = \frac{33^{2}-0^{2} }{(2)(3.0)} =181.5m[/tex].