Final answer:
In simple harmonic motion, an object has maximum acceleration when it is at maximum potential energy and minimum kinetic energy, which occurs at the maximum displacement from its equilibrium position.
option 1. minimum kinetic energy and option 3. minimum potential energy are the correct options
Step-by-step explanation:
When an object moving in simple harmonic motion (SHM) has maximum acceleration, it coincides with the point of maximum potential energy and minimum kinetic energy. This occurs when the object is at the maximum displacement from the equilibrium position, meaning it is fully compressed or stretched if we consider a spring-mass system, for instance. As such, the correct option among the given choices would be 'zero displacement,' given that displacement in the context of SHM refers to deviation from the equilibrium position, and it is indeed zero at maximum acceleration and potential energy points. Alternatively, since the question might be interpreted as maximum acceleration when the object best fits the description, then 'minimum kinetic energy' becomes another correct option because at the points of maximum displacement (the ends of the motion), the speed is zero and thus kinetic energy is at its minimum while acceleration is at its peak due to the restoring force being strongest.
In summary, the point of maximum acceleration in SHM is when the object is at its maximum displacement from the equilibrium position, corresponding to minimum kinetic energy due to the velocity being zero, and maximum potential energy stored in the spring or gravitational field.
The correct options are option 1. minimum kinetic energy and option 3. minimum potential energy .