d
Power \(=\mathrm{F} \bullet \mathrm{v}=\mathrm{Fv} F=v\left(\frac{d m}{d t}\right)=v\left\{\frac{d(\rho \times \text {volume})}{d t}\right\}\)

\(=\rho v\left\{\frac{d(v o l u m e)}{d t}\right\}=\rho v(A v)=\rho A v^{2} \therefore\) Power \(P=\rho A v^{3} \quad\) or \(P=v^{3}\)