Proof of this Statement:

Consider a mass (m) moving with a uniform velocity V₁. If a constant force (F) is applied on it through a distance (s) so that the velocity is increased to (V₂) because of uniform acceleration (a) caused in the body, the work done by the force is given by

                                                  W. D. = F × s

                  And                     F = m × a

where, a = acceleration induced in the body. Using the standard equation of motion,

(V ₂ )² = (V ₁) ² + 2 a s

We may write,

((V ₂ )² - (V ₁) ²)/2 = a × s

Work Done by the force

= F × s

= m × a × s

= m (((V ₂ )² - (V ₁) ²)/2)

∴ WD = ((m (V₂)²) /2 - (m (V₁)²)/2) /2

i.e.,      Final (KE) = Initial (KE) + (WD).

This equation illustrated that KE of the body is enhanced by the amount of work added to it.