A particle performs $SHM$ on $x-$ axis with time period of $0.5\,sec,$ such that it's velocity is zero at $x = -3\,cm$ and at $x = 9\,cm$. It was located at $x = 0$ and moving in negative $'x'$ at $t = 0$. The equation of $SHM$ of the particle is
Diffcult
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$A=6$
at $t=0$
Particle is at $-\frac{A}{2}$ $\&$ moving towards negative extreme.
So. $(\mathrm{x}-3)=6 \sin (4 \pi \mathrm{t}+7 \pi / 6)$
$\mathrm{x}=3+6 \sin (4 \pi \mathrm{t}+7 \pi / 6)$
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