Given:- Escape velocity \(=u\)
The initial velocity of projective is \(200 \%\) more than the escape velocity
\(\Rightarrow V_{\text {initial }}=u+2 u=3 u\)
To find:- The speed of partich in interstellar space
\(\Rightarrow\) when gravitational. potential evergy is \(0\)
Applying Law of Cousavation of energy:,
\(\frac{1}{2} m V_{\text {initial }}^2+(P \cdot E)_{\text {initial }}=\frac{1}{2} m V_{\text {final }}^2+0\)
\(\therefore\) Velocity of the body in the intestella space \(=2 \sqrt{2} 4\)