Wave equations

What would be a solution of the initial boundary-value problem?
$ \frac{\partial^2u}{\partial t^2}=\frac{\partial^2u}{\partial x^2} $
$ 0<x<2,   t>0  $
$ u(x,0)=sin(\frac{\pi x}{2}),      0\le x\le2 $
$ \frac{\partial u}{\partial t}(x,0)=0,       0\le x\le2 $
$ u(0,t)=0 $
$ u(2,t)=0,          t\ge0 $

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