AIIMS 2019 Physics Velocity and Acceleration MCQ Question

Option A is correct because it correctly represents the relationship between acceleration (a) and velocity (v) through integration, stating that integrating acceleration with respect to time (∫adt) yields the change in velocity (∫dv). Options B and C incorrectly apply integration without proper context or limits, leading to nonsensical results. Option D miscalculates the velocity at t = 5 s by incorrectly applying the integration results from option C, which is based on an erroneous equation. Understanding the fundamental relationship between acceleration and velocity is crucial in kinematics, as it allows for the determination of velocity from acceleration over time.