A stationary two stage rocket with initial mass of $16000 \mathrm{~kg}$, carrying a payload of $1000 \mathrm{~kg}$, is fired in a vertical trajectory from the surface of the earth. Both the stages of the rocket have same specific impulse, $\boldsymbol{I}_{s p},$ of $300 \mathrm{~s}$ and same structural coefficient of $0.14 .$ The acceleration due to gravity is $9.8 \mathrm{~m} / \mathrm{s}^{2}$. Neglecting drag and gravity effects and considering both the stages with same payload ratio, the terminal velocity attained by the payload in $m / s$ is____________
A stationary two stage rocket with initial mass of $16000 \mathrm{~kg}$, carrying a payload of $1000 \mathrm{~kg}$, is fired in a vertical trajectory from the surface of the earth. Both the stages of the rocket have same specific impulse, $\boldsymbol{I}_{s p},$ of $300 \mathrm{~s}$ and same structural coefficient of $0.14 .$ The acceleration due to gravity is $9.8 \mathrm{~m} / \mathrm{s}^{2}$. Neglecting drag and gravity effects and considering both the stages with same payload ratio, the terminal velocity attained by the payload in $m / s$ is____________