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A particle is moving in the \( x-y \) plane; the components of its position vector are \( x=A \cos \) \( \mathrm{bt}, \mathrm{y}=\mathrm{A} \sin \mathrm{bt} \) where \( \mathrm{A} \) and \( \mathrm{b} \) are positive constants. Then choose the incorrect statement:-
(1) The \( \mathrm{x} \)-component of the instantaneous velocity is \( -\mathrm{Ab} \sin \mathrm{bt} \)
(2) The x-component of instantaneous acceleration is \( -\mathrm{Ab}^{2} \cos \mathrm{bt} \)
(3) The magnitude of the instantaneous velocity is \( \sqrt{2} \mathrm{Ab} \)
(4) The y-component of instantaneous acceleration is \( -\mathrm{Ab}^{2} \sin \mathrm{bt} \)
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