A particle experiences a variable force \( \vec{F} = \left( 4x \, \hat{i} + 3y^{2} \, \hat{j} \right) \) in a horizontal \( x\text{-}y \) plane. Assume distance in meters and force is newton. If the particle moves from point \( (1, 2) \) to point \( (2, 3) \) in the \( x\text{-}y \) plane, then Kinetic Energy changes by:
