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A transverse wave along a string is given by \( y=2 \sin \left(2 \pi(3 t-x)+\frac{\pi}{4}\right) \), where \( x \) and \( y \) are in \( \mathrm{cm} \) and \( t \) is in second. The acceleration of a particle located at \( x=4 \mathrm{~cm} \) at \( t=1 \mathrm{~s} \) is
a. \( 36 \sqrt{2} \pi^{2} \mathrm{~cm} / \mathrm{s}^{2} \)
b. \( 36 \pi^{2} \mathrm{~cm} / \mathrm{s}^{2} \)
c. \( -36 \sqrt{2} \pi^{2} \mathrm{~cm} / \mathrm{s}^{2} \)
d. \( -36 \pi^{2} \mathrm{~cm} / \mathrm{s}^{2} \)
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