# A ball of mass 0.2 𝑘𝑔 rests on a vertical post of height 5 𝑚. A bullet of mass 0.01 𝑘𝑔, travelling with a velocity 𝑉 𝑚/𝑠 in a horizontal direction, hits the center of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of 20 𝑚 and the bullet at a distance of 100 𝑚 from the foot of the post. The initial velocity 𝑉 of the bullet is

Question: A ball of mass 0.2 𝑘𝑔 rests on a vertical post of height 5 𝑚. A bullet of mass 0.01 𝑘𝑔, travelling with a velocity 𝑉 𝑚/𝑠 in a horizontal direction, hits the center of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of 20 𝑚 and the bullet at a distance of 100 𝑚 from the foot of the post. The initial velocity 𝑉 of the bullet is

(A) 250 𝑚/𝑠

(B) 250 $\sqrt{2}$ 𝑚/𝑠

(C) 400 𝑚/𝑠

(D) 500 𝑚/𝑠