A shell is fired from a canon with a velocity v at an angle $\theta$ with the horizontal. At the highest point of its path it explodes into two pieces of equal masses, one of the pieces retraces its path to point of throw. what is speed of second piece immediately after explosion

Question

\[(a)\;3v\; \cos \theta \quad (b)\;2v\; \cos \theta \quad (c)\;v\; \cos \theta \quad (d)\;\frac{3}{2}v\; \cos \theta\]