AIIMS 2018 Physics Vector Calculations MCQ Question

The calculation of gravitational potential energy change involves integrating the force per unit mass (I) over the displacement, resulting in $v = -[I_x x + I_y y]$. Substituting the given values yields $v = -[5(7) + 12(-3)] = 1 \, \text{J/kg}$, which indicates an increase in potential energy, confirming that option D is correct. The other options are not applicable or do not provide relevant information, as they do not pertain to the calculation or interpretation of gravitational potential energy changes. Understanding this concept is crucial for analyzing forces and energy in physics.