Wave equations

What would be the solution of the initial boundary-value problem?
$ u_t_t =16u_x_x,                   0<x<\infty,  t>0 $
$ u(x,0)=\sin(x),                                 0\le x<\infty $
$ u_t(x,0)=x^2,                                0\le x<\infty $
$ u(0,t)=0,                                                     t\ge 0 $

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