A

In simple harmonic motion (SHM), the acceleration and velocity have specific relationships.
Step 1: The acceleration ( abla ext{a}) of an object in SHM is directly proportional to its displacement (x) but in the opposite direction. Thus, abla ext{a} = - abla ext{k} imes x, where k is the force constant.
Step 2: The velocity (v) of the object is maximum at the equilibrium position (x = 0) and zero at the maximum displacement (+A or -A).
Step 3: The graph that represents this relationship shows acceleration as a sinusoidal wave, while the velocity has a phase difference of 90 degrees (cosine wave) relative to the displacement.
Conclusion: Therefore, Option A correctly represents the relationship between acceleration and velocity as expected in simple harmonic motion.