A particle performs simple harmonic motion with amplitude and angular frequency

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

Problem

A particle performs simple harmonic motion with amplitude 4.0 cm4.0\,\text{cm} and angular frequency 25 rad s−125\,\text{rad s}^{-1}. Starting from the mean position at t=0t=0 and moving towards the positive extreme, how much time does it take to go from displacement x1=1.0 cmx_1 = 1.0\,\text{cm} to x2=3.0 cmx_2 = 3.0\,\text{cm} for the first time? (a) 0.048 s0.048\,\text{s} (b) 0.020 s0.020\,\text{s} (c) 0.024 s0.024\,\text{s} (d) 0.034 s0.034\,\text{s}

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