Answer: π/2 rad.
- A π/2 rad
- B π rad
- C 0
- D 2π rad
Correct answer: A. π/2 rad
Explanation: x = A sin(ωt) and v = Aω cos(ωt) = Aω sin(ωt + π/2). Velocity leads displacement by 90° (π/2 rad).
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.