Which one of the following statements is true for the speed v and acceleration a of a particle executing simple harmonic motion?
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Which one of the following statements is true for the speed v and acceleration a of a particle executing simple harmonic motion?

G1 Physics · Accepted Answer

Step 1: The speed–position relation is v² = ω²(A² − x²), so speed is greatest at x = 0. Step 2: Acceleration is a = −ω²x, so at x = 0 acceleration vanishes. Step 3: At extremes (x = ±A), speed is zero but acceleration is maximum in magnitude. Step 4: Therefore maximum speed coincides with zero acceleration. Final answer: (D) When v is maximum, a is zero..