Q.An engine pumps water continuously through a hose. Water leaves the hose with a velocity $v$ and $m$ is the mass per unit length of the water of the jet. What is the rate at which kinetic energy is imparted to water? (AIPMT 2009) [The four printed answer options are scrambled fraction/exponent fragments in the source scan (coefficients 1, 1, 3, 5 over 2, combined with the base $mv$ and stray superscripts) that cannot be reliably reconstructed into their exact original form, so the option list is not transcribed.]