Answer: 12.6 m/s2.
- A 6.3 m/s2
- B 25.3 m/s2
- C 3.2 m/s2
- D 12.6 m/s2
Correct answer: D. 12.6 m/s2
Explanation: ω = 2π/T = 4π rad/s. amax = ω2A = (4π)2 × 0.08 ≈ 12.6 m/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.