An object executes simple harmonic motion given by

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

x = 8.0\,\text{cm}\,\cos\!\left(\dfrac{2\pi t}{0.40\,\text{s}}+\dfrac{\pi}{4}\right)

, where

x

is measured from equilibrium and

t

is in seconds. Calculate the instantaneous acceleration of the object at

t = 0.15\,\text{s}

. Express your answer in

\text{m/s}^2