An engine pumps water continously through a hose. Water leave the hose with a velocity `v` and `m` is the mass per unit length of the Water jet. What is the rate at Which kinetic energy is imparted to water?

Options

A. `(1)/(2) mv^(3)`
B. `mv^(3)`
C. `(1)/(2) mv^(2)`
D. `(1)/(2) m^(2)v^(2)`

Explanation

To find the rate at which kinetic energy is imparted to the water being pumped through the hose, we can follow these steps:

### Step 1: Understand the formula for kinetic energy
The kinetic energy (KE) of an object is given by the formula:
\[ KE = \frac{1}{2} mv^2 \]
where \( m \) is the mass of the object and \( v \) is its velocity.
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