The displacement of a particle varies according to the relation $x = 3 \ sin\ 100t + 8\  cos^2\  50t$ . Which of the following is incorrect about this motion
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$x=3 \sin 100 t+8 \cos ^{2} 50 t$

$=3 \sin 100 t+8\left(\frac{1+\cos 2 \theta}{2}\right)$

$=3 \sin 100 t+4 \cos 100 t+4$

$x=5 \sin (100 t)+4$

$\Rightarrow A=5,$ motion is $5.17 \mathrm{M}$

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