4.If the velocity of a moving object doubles.what happens to its kinetic energy? A.It decreases by one fourth. B. B.It decreases by one half. C. It doubles. D.It increases four times.

## Step 1<br />The kinetic energy of an object is given by the formula:<br />### \( KE = \frac{1}{2}mv^2 \)<br />where \( m \) is the mass of the object and \( v \) is its velocity.<br /><br />## Step 2<br />From the formula, we can see that the kinetic energy is directly proportional to the square of the velocity. This means that if the velocity of the object doubles, the kinetic energy will increase by a factor of four.<br /><br />## Step 3<br />This is because when the velocity is doubled, the square of the velocity becomes four times the original square of the velocity. Therefore, the kinetic energy will also increase four times.