Question: A shell is fired from a cannon with velocity 𝑣 𝑚/𝑠𝑒𝑐 at an angle 𝜃 with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed in 𝑚/𝑠𝑒𝑐 of the other piece immediately after the explosion is
(A) 3𝑣 cos 𝜃
(B) 2𝑣 cos 𝜃
(C) \dfrac{3}{2}v\cos \theta
(D) \dfrac{\sqrt{3}}{2}v\cos \theta
Answer: Option (A)
Solution:
