બોમ્બ ના ત્રણ સરખા ટુકડા થાય છે 

$\therefore \,\,\,{{\text{m}}_{\text{1}}}\,\, = \,\,{m_2}\,\, = \,\,{m_3}\,\, = \,\,m$

હવે, ${{\text{m}}_{\text{1}}}$ ટુકડા નો વેગ $\mathop {{{\text{v}}_{\text{1}}}}\limits^ \to  \,\, = \,\,9\,\,\hat i\,\,m/s,\,\,{{\text{m}}_{\text{2}}}\,$ 

ટુકડા નો વેગ $\,\mathop {{{\text{v}}_{\text{2}}}}\limits^ \to  \,\, = \,\,12\,\,\hat j\,\,\,m/s,\,\,{{\text{m}}_{\text{3}}}$ ટુકડા નો વેગ $\mathop {{{\text{v}}_{\text{3}}}}\limits^ \to  \,\, = \,\,?$

વેગમાં સંરક્ષણ ના નિયમ મુજબ $\,{\text{M}}\,\,\mathop {\text{v}}\limits^ \to  \,\, = \,\,{{\text{m}}_{\text{1}}}\,\mathop {{v_1}}\limits^ \to  \,\, + \,\,\,{m_2}\,\mathop {{v_2}}\limits^ \to  \,\, + \,\,{m_3}\,\mathop {{v_3}}\limits^ \to  $

$0\,\, = \,\,m\,(9\,\,\hat i)\,\, + \,\,m\,\,(12\,\,\hat j)\,\, + \,\,m\,\,\mathop {{v_3}}\limits^ \to  \,\,$ 

(બોમ્બ પ્રારંભ માં સ્થિર છે)

$\therefore \,\,\mathop {{{\text{v}}_{\text{3}}}}\limits^ \to  \,\, = \,\, – \,\,9\,\,\hat i\,\, – \,\,12\,\,\hat j\,\,\,\,\,\,\,\therefore \,\,\left| {\mathop {{v_3}}\limits^ \to  } \right|\,\, = \,\,\,\sqrt {{{( – 9)}^2}\, + \,\,{{( – 12)}^2}} \,\,$

$ = \,\,\sqrt {81\,\, + \,\,144} \,\,\,\,\therefore \,\,\,\,\left| {\mathop {{v_3}}\limits^ \to  } \right|\,\, = \,\,15\,\,m\,\,{s^{ – 1}}$