A particle undergoing simple harmonic motion has amplitude and time period

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

A particle undergoing simple harmonic motion has amplitude 10 cm10\,\text{cm} and time period 2.0 s2.0\,\text{s}. At t=0t=0 its displacement is 6 cm6\,\text{cm} and its velocity is −0.25 m s−1-0.25\,\text{m}\,\text{s}^{-1}. Determine the acceleration of the particle at t=0.50 st=0.50\,\text{s}. (a) −0.79 m s−2-0.79\,\text{m}\,\text{s}^{-2} (b) +0.62 m s−2+0.62\,\text{m}\,\text{s}^{-2} (c) +0.79 m s−2+0.79\,\text{m}\,\text{s}^{-2} (d) −0.99 m s−2-0.99\,\text{m}\,\text{s}^{-2}

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