• # question_answer The displacement of a particle varies according to the relation $x=4\,\,\,(cos\,\,\pi t\,\,+\,\,sin\,\,\pi t)$. The amplitude of the particle is- A) 8                                 B) -4C) 4                                 D) $4\sqrt{2}$

$x=4\text{ }cos\text{ }\pi t+4\text{ }sin\text{ }\pi t$ $A=\sqrt{{{4}^{2}}+{{4}^{2}}}\,\,=\,\,4\sqrt{2}$