The energy possessed by a moving body due to its motion is known as Kinetic Energy. Derivation of Kinetic Energy using Calculus. Here k is the Boltzmann constant and its approximate value is 1380 10 23 J K 1.
Using the kinetic energy equation.
Note that mass is a scalar and can therefore be factored out. Using equation 9 and 10. Derivation of Kinetic Energy using Calculus. Now we know that the kinetic energy of a body at rest is zero.