A particle is at rest at the origin. A force is applied on the particle and it is displaced from the origin to the point (1, 2, 3) metre. For what values of ‘a’ and ‘b’, the particle will gain maximum kinetic energy?
displacement,
By work-energy theorem kinetic energy gained will be maximum, work done on the particle is maximum i.e., when .
i.e. when are parallel.
In that case,