Projectile

Q. A shell fired from the ground explodes at the highest point in its path into two pieces of equal masses. One of the pieces retraces its path. Distance between the two pieces when both lands on the ground is :

1. $\frac{u^2\sin 2\theta }{g}$
2. $\frac{u^2\sin 2\theta }{2g}$
3. $\frac{2u^2\sin 2\theta }{g}$
4. $\frac{u^2\sin 2\theta }{4g}$

Q. A projectile, following the usual parabolic trajectory, explodes into fragments midway in air. The centre of mass of fragments will follow

1. Any parabolic path
2. Same parabolic path
3. Horizontal rectilinear path
4. Vertical rectilinear path