A small block of mass m and a concave mirror of radius

Question:

A small block of mass $\mathrm{m}$ and a concave mirror of radius $\mathrm{R}$ fitted with a stand lie on a smooth horizontal table with a separation d between them. The mirror together with its stand has a mass m. The block is pushed at $\mathrm{t}=0$ towards the mirror so that it starts moving towards the mirror at a constant speed $\mathrm{V}$ and collides with it. The collision is perfectly elastic. Find the velocity of the image (a) at a time $td / V$.

Solution:

$V=v\left[1-\frac{R^{2}}{2(v t-d)-(R)^{2}}\right]$

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