The displacement of a particle executing simple harmonic motion is given by

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

x=0.02\cos(100\pi t+\tfrac{\pi}{3})\,\text{m}

. Calculate its velocity at

t=0.010\,\text{s}

. (a) +6.3\,\text{m}\,\text{s}^{-1} (b) -5.4\,\text{m}\,\text{s}^{-1} (c) +5.4\,\text{m}\,\text{s}^{-1} (d) +3.1\,\text{m}\,\text{s}^{-1}