If mass m is constant. Derivation of Kinetic Energy using Calculus. Fma 3 From equation 1 2 and 3 Wma V²-u²2a 12m V²-u² As the object in a state of rest u0.
K E 12mv2.
First the potential energy formula is derived and the kinetic energy formula is already derived from it. This work done on the body is because of Kinetic energy KE of the body. Note that mass is a scalar and can therefore be factored out. Substituting for mv in the above equation we get-.