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[QUE/CM-08003]

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A perfectly smooth horizontal disk is rotating with an angular velocity $\omega$ about a vertical axis passing through its center. A person on the disk at a distance $R$ from the origin gives a perfectly smooth coin (negligible size)pf mass $m$ a push towards the origin. This push gives it an initial velocity $V$ relative to the disk. Show that the motion for a time $t$, which is such that $(\omega t)^2$ is negligible, appears to the person on the disk to be a  parabola, and give the equation of the parabola.


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