A particle of mass $m$ is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the  position of the particle as a function of time $?$
AIPMT 2011, Medium
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Particle will oscillate to and from keeping its magnitude constant .If it starts its oscillation from the positive extreme position at $t=0$ than its equation of motion will be

$x=A cos \omega t$

At $t=0 , x=A$ particle lies at the positive extreme position and at $\omega t=\pi /2$ particle crosses the mean position and after that passes the mean position and go towards the negative direction

art

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