An isolated particle of mass `m` is moving in horizontal plane` xy` along the `x`-axis, at a certain height above the ground. It suddenly explodes into two fragment of masses `m//4` and `3m//4`. An instant later, the smaller fragment is at `y=+15` cm. The larger fragment at this instant is at

Explanation

As `vec(F)_(y)=0 " " Delta vec(P)_(y)=0 vec(P)_(y1)=vec(P)_(yf)`

`vec(P)_(yi)=0 therefore m_(1)vec(V)_(y1)+m_(2)vec(V)_(y2)=0, m_(1)vec(y)_(1)=-m_(2)vec(y)_(2)`
`y_(2)=-((cancel(m))/(4)xx15)/((3cancel(m))/(4))y_(2)=-5cm`