Answer: -6π²/4 cm/s².
- A -14.8 cm/s²
- B -6π²/4 cm/s²
- C 14.8 cm/s²
- D -6 cm/s²
Correct answer: B. -6π²/4 cm/s²
Explanation: ω = π/2. a = -ω² x = -(π/2)² × 6 = -6π²/4 ≈ -14.8 cm/s².
In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.
Concept context
Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.