A shell is fired from a cannon with a velocity $$v$$ at an angle $$\theta$$ with the horizontal direction. At the highest point in its path, it explodes into two pieces, one retraces its path to the cannon and the speed of the other pieces immediately after the explo- sion is:
A
$$\left(\dfrac{3}{2}\right)v\cos\theta$$
B
$$\dfrac{\sqrt{3}}{2}v\cos\theta$$
Correct option is A. $$3v\cos\theta$$