Yes, the energy of a moving body does change when we increase its velocity. The energy associated with the motion of an object is called kinetic energy. Kinetic energy is dependent on both the mass and velocity of the object.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = (1/2) * m * v^2
Where: KE is the kinetic energy m is the mass of the object v is the velocity of the object
From the equation, it is clear that the kinetic energy of an object is directly proportional to the square of its velocity. Therefore, if we increase the velocity of a moving body, its kinetic energy will increase. Similarly, if we decrease the velocity, the kinetic energy will decrease.
It's important to note that the energy of a moving body is not the only type of energy that can change with velocity. In certain situations, other forms of energy such as potential energy or relativistic energy can also be affected by changes in velocity. However, for most practical scenarios, the discussion above about kinetic energy holds true.