a bomb is projected and explodes at highest point into two equal masses. The first piece returns at the point of projection then what is the distance travelled by the second piece if range is R

Q. A projectile of mass $3m$ is projected from the ground with a velocity $30\text{m/s}$ at ${45}^{\circ }$ with the horizontal. At the highest point, it explodes into two pieces. One of pieces has mass $2m$ and the other has mass $m$. Both the pieces fly off after explosion. Mass $2m$ falls at a distance of $100\text{m}$ from the point of projection. Find the distance of second mass from the point of projection, where it strikes the ground. (Take $g=10{\text{m/s}}^2$)

Q. A particle of mass $3m$ is projected from the ground at some angle with horizontal . The horizontal range $R$. At the highest point of its path it breaks into two pieces $m$ and $2m$. The smaller mass comes to rest and larger mass finally at a distance $x$ from the point of projection where $x$ is equal to :

Q. A body projected at an angle ${45}^o$ with horizontal has range $16m$. It explodes into two parts of equal masses at the highest point One of the parts falls downwards at the point of explosion. At what distance from the point of throw, the other will fall?
($g=10m{s}^{-2}$)

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 :

Q. A particle of mass $4m$ is projected from the ground at some angle with horizontal. Its horizontal range is $R$. At the highest point of its path it breaks into two pieces of masses $m$ and $3m,$ respectively, such that the smaller mass comes to rest. The larger mass finally falls at a distance $x$ from the point of projection, where $x$ is equal to :