An object in simple harmonic motion has acceleration ,(m/s )

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

An object in simple harmonic motion has acceleration

a(t)= -2.0\sin(4\pi t)

\,(m/s

^2

). At

t=0

the displacement is zero and increasing. Determine the earliest time

t>0

(in seconds) at which the displacement reaches its first maximum positive value.