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

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

Problem

x = 0.12\cos\bigl(6\pi t - \tfrac{\pi}{4}\bigr)

, where x is in meters and t in seconds. What is the earliest positive time t at which the acceleration attains its maximum positive value? (a)

0.042\,\text{s}

(b)

0.125\,\text{s}

(c)

0.208\,\text{s}

(d)

0.292\,\text{s}