Answer
$v_{avg}=1.0cm/s$
Work Step by Step
To find the average velocity, use the equation $$v_{avg}=\frac{\Delta x}{\Delta t}=\frac{x_f-x_o}{\Delta t}$$ Find x(0.0) and x(2.0) by substituting the $t$ value into the displacement formula. $$x(0.0)=(2.0cm)sin(0)=0.0cm$$ $$x(2.0)=(2.0cm)sin(\pi /2)=2.0cm$$ Substituting these values into the equation yields $$v_{avg}=\frac{2.0cm-0.0cm}{2.0s}=1.0cm/s$$
