Answer: 8 cm/s.
- A 16π cm/s
- B 4π cm/s
- C 8π cm/s
- D 2π cm/s
Correct answer: C. 8π cm/s
Explanation: Here amplitude A = 4 cm and ω = 2π rad/s. Maximum speed v<sub>max</sub> = Aω = 4 × 2π = 8π cm/s (about 25.1 cm/s).
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.