Question $3(20$ points$)$:

A $1\mathrm{.}2-$kg spring$-$activated toy bomb slides on a smooth surface along the $x-$axis with a speed of $0\mathrm{.}55\frac{m}{s}.$ At the origin $0,$ the bomb explodes into two fragments. Fragment $1$ has a mass of $0\mathrm{.}45$ kg and a speed of $0\mathrm{.}95\frac{m}{s}$ along the negative $y$ axis.

a$)$ What is the speed and angle of fragment $2?$