Answer:
The correct answer is option E. This is because when a body is undergoing simple harmonic motion, the displacement, velocity and acceleration are constantly changing with respect to position and time.
Step-by-step explanation:
When the body is passing through the equilibrium position so that the displacement at that point is zero, the velocity at that point is either maximum or minimum (Vmax or Vmin) which is dependent on which way the body is moving (the chosen direction of positive sense of motion). At the equilibrium position the acceleration is zero because the net force acting on the body is zero (that is the sun of the forces acting on the body along both directions of motion is equal to zero). Also when the body is at either its maximum positive displacemt, x = +A, or its maximum negative displacement x = -A, the velocity is zero and the body is instantaneously at rest. At this points the force (in either direction) acting on the body has it maximum value and as a result the acceleration has it maximum magnitude whether negative or positive depending on the chosen direction positive sense of motion.
At any other point in the course of the SHM (simple harmonic motion), the velocity (V) and acceleration (a) of the always have nonzero values and as a result they are never simultaneously equal to zero.
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