Answer: ω√(A²-x²).
- A ω√(A²-x²)
- B ωx
- C ωA
- D ω√(A²+x²)
Correct answer: A. ω√(A²-x²)
Explanation: v = ω√(A² - x²). At x=0: v = ωA (maximum). At x=A: v = 0 (at extremes).
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.