The correct answer is option 2, which states that the maximum acceleration of a swinging pendulum occurs at the two extremities of the swing.

To understand why this is the case, we need to consider the motion of a pendulum. A pendulum consists of a mass (bob) attached to a string or rod, which is connected to a fixed point. When the pendulum is released from a certain height, it swings back and forth due to the force of gravity.

During its motion, the pendulum experiences two types of forces: gravitational force and tension in the string or rod. At the two extremities of the swing, the gravitational force is at its maximum, as the bob is farthest from the point of suspension. This causes the tension in the string or rod to be at its minimum.

According to Newton`s second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma), the acceleration of an object is directly proportional to the force acting on it. Hence, at the extremities of the swing, where the gravitational force is maximum and tension is minimum, the acceleration of the pendulum is also maximum.

Therefore, option 2 is the correct answer because the two extremities of the swing have the highest acceleration