Hi there!
The maximum velocity is given by:
[tex]\large\boxed{v_{max} = Aw}}[/tex]
A = amplitude (m)
ω = angular frequency (rad/sec)
From the parent equation of an SHM oscillator:
[tex]\large\boxed{x(t) = Acos(\omega t + \phi)}}[/tex]
The given equation provides us with the amplitude and angular frequency, so we can take these values from the equation to solve for the max velocity:
[tex]v_{max} = \pm(0.5)(\frac{\pi}{3}}) = \boxed{\pm \frac{\pi}{6} = \pm0.524 m/s}}[/tex]
