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

Answer:

Option D.

Step-by-step 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.

$Frequency=\dfrac{1}{Period}$

$Frequency=\dfrac{1}{6}$

Substitute A=2 and $f=\frac{1}{6}$ in equation (1).

$d=(2)\cos (2\pi (\frac{1}{6})t)$

$d=2\cos (\frac{\pi }{3}t)$

Therefore, the correct option is D.

Answer 2

Answer:

the correct option is D.

Step-by-step explanation:

a p e x