The displacement of a particle executing $SHM$ is given by $x = 3 \sin \left(2 \pi t + \frac{\pi}{4}\right)$,where $x$ is in $m$ and $t$ is in $s$. The amplitude and maximum speed of the particle are:

  • A
    $3 \ m, 4 \pi \ m/s$
  • B
    $3 \ m, 6 \pi \ m/s$
  • C
    $3 \ m, 8 \pi \ m/s$
  • D
    $3 \ m, 2 \pi \ m/s$

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