The vibrations of string of length \( 60 \mathrm{~cm} \) fixed at both ends are represented by t...

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The vibrations of string of length \( 60 \mathrm{~cm} \) fixed at both ends are represented by the equations
math xmlns=http://www.w3.org/1998/Math/MathMLmiy/mimo=/momn4/mnmisin/mimfencedmrowmiπ/mimix/mimo//momn15/mn/mrow/mfencedmo /momicos/mimfencedmrowmn96/mnmiπ/mimit/mi/mrow/mfenced/math
where \( x \) and \( y \) are in \( \mathrm{cm} \) and \( t \) in \( \mathrm{s} \). The maximum displacement at \( x=5 \mathrm{~cm} \) is
(1) \( 2 \sqrt{3} \mathrm{~cm} \)
(2) \( 4 \mathrm{~cm} \)
(3) zero
(4) \( 4 \sqrt{2} \mathrm{~cm} \)
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