A particle executes SHM described by with

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

A particle executes SHM described by

x(t)=A\cos(\omega t)

with

\omega=6\pi\,\text{rad}\,\text{s}^{-1}

. What is the first positive time after

t=0

when its kinetic energy equals its potential energy? (a)

\dfrac{1}{18}\,\text{s}

(b)

\dfrac{1}{24}\,\text{s}

(c)

\dfrac{1}{12}\,\text{s}

(d)

\dfrac{1}{8}\,\text{s}