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