The equation of the motion of this object is [tex]\mathbf{y = 3 cos \Big [ \dfrac{ \pi}{2}(t -2) \Big ] }[/tex]
An oscillation in a waveform is a periodic set of vibrations an object in the medium produces.
From the parameters given:
The angular velocity can be computed by using the formula:
[tex]\mathbf{\omega = \dfrac{2 \pi}{T}}[/tex]
[tex]\mathbf{\omega = \dfrac{2 \pi}{4.0}}[/tex]
The amplitude A from the oscillation is:
[tex]\mathbf{\Big|A \Big| = \Big|\dfrac{3 - (-3)}{2} \Big| = 3}[/tex]
It implies that the vertical shift (D) is:
[tex]\mathbf{\dfrac{minimum + maximum}{2} = \dfrac{3+(-3)}{2} = 0}[/tex]
However, by using the formula of the general form of a sinusoidal equation, we have:
[tex]\mathbf{y = A cos \Big [ \dfrac{2 \pi}{4}(t -2) \Big ] + 0}[/tex]
[tex]\mathbf{y = 3 cos \Big [ \dfrac{ \pi}{2}(t -2) \Big ] }[/tex]
Learn more about oscillation in waveform here:
https://brainly.com/question/15701473
