Physics Question from JEE Main 2023 · 30 January, Shift 1

A ball of mass $200 \, \text{g}$ rests on a vertical post of height $20 \, \text{m}$. A bullet of mass $10 \, \text{g}$, travelling in horizontal direction, hits the centre of the ball. After collision both travel independently. The ball hits the ground at a distance of $30 \, \text{m}$ and the bullet at a distance of $120 \, \text{m}$ from the foot of the post. The value of initial velocity of the bullet will be (if $g = 10 \, \text{m/s}^2$):