.
and 
![\begin{aligned}&K(t)=\frac{1}{2} m(t) \cdot v(t)^{2}\\&\frac{d K}{d t}=\frac{1}{2}\left[m(t) \times 2 v(t) \times \frac{d v(t)}{d t}+v(t)^{2} \frac{d m}{d t}\right]\end{aligned}](/tpl/images/0551/2815/74254.png)
and ![\begin{aligned}\frac{d K}{d t} &=\frac{1}{2}\left[2 \times 10^{3} \times 2 \times 5 \times 10^{3} \times 15+\left(5 \times 10^{3}\right)^{2}(-10)\right] \\&=\frac{1}{2}\left[300 \times 10^{6}+(-250) \times 10^{6}\right] \\&=\frac{1}{2}\left[(50) \times 10^{6}\right] \\&=25 M J\end{aligned}](/tpl/images/0551/2815/98dec.png)
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