Answer: 5 cm.
- A 5 cm
- B 7 cm
- C 1 cm
- D 12 cm
Correct answer: A. 5 cm
Explanation: This can be written as A sin(ωt + φ) where A = √(3² + 4²) = √(9+16) = √25 = 5 cm.
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.