Question

Find a model for simple harmonic motion if the position at t = 0 is 2, the

amplitude is 2 centimeters, and the period is 6 seconds.

O A. d= 6 sin(2t)

O B. d = 2 cos(6t)

O c. d= 2 sin(pi/3t)

O D. d= 2cos(pi/3t)

SUBMIT

Answer 1

the correct option is D.

Explanation:

a p e x

Answer 2

Option D.

Explanation:

Given information:

Amplitude = 2 centimeters

Period = 6 seconds

Position at t = 0 is 2.

In simple harmonic motion the displacement is defined as

`d=A\cos (2\pi ft)` .... (1)

where, A is amplitude and f is frequency.

`Frequency=(1)/(Period)`

`Frequency=(1)/(6)`

Substitute A=2 and
`f=(1)/(6)` in equation (1).

`d=(2)\cos (2\pi ((1)/(6))t)`

`d=2\cos ((\pi )/(3)t)`

Therefore, the correct option is D.