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Please help!!

A weight is attached to a spring that is oscillating up and down. It takes 2 seconds for the spring to complete one cycle, and the distance from the highest to the lowest point is 5 in. What equation models the position of the weight at time t seconds?

Please help A weight is attached to a spring that is oscillating up and down It takes 2 seconds for the spring to complete one cycle and the distance from the h class=

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Answer:

[tex] y=2.5 \sin(\pi t)[/tex]

Step-by-step explanation:

Time period $T$ is 2 sec.

$T=\frac{2\pi}{\omega}$

$\therefore 2=\frac{2\pi}{\omega}$

$\therefore \omega=\pi$

The amplitude is half the distance between highest and lowest points.

Thus, amplitude $A= 2.5$

The equation to the SHM is:

$y=A \sin (\omega t)$

Or,

$\boxed{y=2.5 \sin (\pi t)}$

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